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Finding the Fourth Proportional to 572.71, 858.25 and 457.51

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Solution

The fourth proportional to 572.71, 858.25 and 457.51 is: 685.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.71 : 858.25 = 457.51 : x
  2. Step 2: Convert to fraction form
    572.71/858.25 = 457.51/x
  3. Step 3: Cross multiply
    572.71x = 858.25 × 457.51
  4. Step 4: Simplify right side
    572.71x = 392,651.38
  5. Step 5: Solve for x
    x = 392,651.38/572.71
  6. Step 6: Final answer
    x = 685.60

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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.