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Finding the Fourth Proportional to 616.71, 920.65 and 571.71

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Solution

The fourth proportional to 616.71, 920.65 and 571.71 is: 853.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.71 : 920.65 = 571.71 : x
  2. Step 2: Convert to fraction form
    616.71/920.65 = 571.71/x
  3. Step 3: Cross multiply
    616.71x = 920.65 × 571.71
  4. Step 4: Simplify right side
    616.71x = 526,343.38
  5. Step 5: Solve for x
    x = 526,343.38/616.71
  6. Step 6: Final answer
    x = 853.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.