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Finding the Fourth Proportional to 556.53, 763.53 and 542.16

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Solution

The fourth proportional to 556.53, 763.53 and 542.16 is: 743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.53 : 763.53 = 542.16 : x
  2. Step 2: Convert to fraction form
    556.53/763.53 = 542.16/x
  3. Step 3: Cross multiply
    556.53x = 763.53 × 542.16
  4. Step 4: Simplify right side
    556.53x = 413,955.42
  5. Step 5: Solve for x
    x = 413,955.42/556.53
  6. Step 6: Final answer
    x = 743.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.