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Finding the Fourth Proportional to 572.13, 853.63 and 503.78

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Solution

The fourth proportional to 572.13, 853.63 and 503.78 is: 751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.13 : 853.63 = 503.78 : x
  2. Step 2: Convert to fraction form
    572.13/853.63 = 503.78/x
  3. Step 3: Cross multiply
    572.13x = 853.63 × 503.78
  4. Step 4: Simplify right side
    572.13x = 430,036.19
  5. Step 5: Solve for x
    x = 430,036.19/572.13
  6. Step 6: Final answer
    x = 751.64

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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.