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Finding the Fourth Proportional to 829.12, 1,244.20 and 464.14

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Solution

The fourth proportional to 829.12, 1,244.20 and 464.14 is: 696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.12 : 1,244.20 = 464.14 : x
  2. Step 2: Convert to fraction form
    829.12/1,244.20 = 464.14/x
  3. Step 3: Cross multiply
    829.12x = 1,244.20 × 464.14
  4. Step 4: Simplify right side
    829.12x = 577,482.99
  5. Step 5: Solve for x
    x = 577,482.99/829.12
  6. Step 6: Final answer
    x = 696.50

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.