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Finding the Fourth Proportional to 543.68, 811.56 and 503.63

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Solution

The fourth proportional to 543.68, 811.56 and 503.63 is: 751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.68 : 811.56 = 503.63 : x
  2. Step 2: Convert to fraction form
    543.68/811.56 = 503.63/x
  3. Step 3: Cross multiply
    543.68x = 811.56 × 503.63
  4. Step 4: Simplify right side
    543.68x = 408,721.91
  5. Step 5: Solve for x
    x = 408,721.91/543.68
  6. Step 6: Final answer
    x = 751.78

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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.