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Finding the Fourth Proportional to 572.13, 788.13 and 424.71

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Solution

The fourth proportional to 572.13, 788.13 and 424.71 is: 585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.13 : 788.13 = 424.71 : x
  2. Step 2: Convert to fraction form
    572.13/788.13 = 424.71/x
  3. Step 3: Cross multiply
    572.13x = 788.13 × 424.71
  4. Step 4: Simplify right side
    572.13x = 334,726.69
  5. Step 5: Solve for x
    x = 334,726.69/572.13
  6. Step 6: Final answer
    x = 585.05

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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.