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Finding the Fourth Proportional to 829.03, 1,144.02 and 474.93

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Solution

The fourth proportional to 829.03, 1,144.02 and 474.93 is: 655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.03 : 1,144.02 = 474.93 : x
  2. Step 2: Convert to fraction form
    829.03/1,144.02 = 474.93/x
  3. Step 3: Cross multiply
    829.03x = 1,144.02 × 474.93
  4. Step 4: Simplify right side
    829.03x = 543,330.61
  5. Step 5: Solve for x
    x = 543,330.61/829.03
  6. Step 6: Final answer
    x = 655.38

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Double scale
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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.