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Finding the Fourth Proportional to 829.89, 1,144.08 and 593.10

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Solution

The fourth proportional to 829.89, 1,144.08 and 593.10 is: 817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.89 : 1,144.08 = 593.10 : x
  2. Step 2: Convert to fraction form
    829.89/1,144.08 = 593.10/x
  3. Step 3: Cross multiply
    829.89x = 1,144.08 × 593.10
  4. Step 4: Simplify right side
    829.89x = 678,553.85
  5. Step 5: Solve for x
    x = 678,553.85/829.89
  6. Step 6: Final answer
    x = 817.64

Related Problems

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Half scale
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Double scale
Find fourth proportional to 830.89, 1,145.46 and 594.10
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.