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Finding the Fourth Proportional to 487.62, 729.81 and 414.18

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Solution

The fourth proportional to 487.62, 729.81 and 414.18 is: 619.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.62 : 729.81 = 414.18 : x
  2. Step 2: Convert to fraction form
    487.62/729.81 = 414.18/x
  3. Step 3: Cross multiply
    487.62x = 729.81 × 414.18
  4. Step 4: Simplify right side
    487.62x = 302,272.71
  5. Step 5: Solve for x
    x = 302,272.71/487.62
  6. Step 6: Final answer
    x = 619.89

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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.