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Finding the Fourth Proportional to 572.94, 853.47 and 542.16

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Solution

The fourth proportional to 572.94, 853.47 and 542.16 is: 807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.94 : 853.47 = 542.16 : x
  2. Step 2: Convert to fraction form
    572.94/853.47 = 542.16/x
  3. Step 3: Cross multiply
    572.94x = 853.47 × 542.16
  4. Step 4: Simplify right side
    572.94x = 462,717.30
  5. Step 5: Solve for x
    x = 462,717.30/572.94
  6. Step 6: Final answer
    x = 807.62

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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.