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Finding the Fourth Proportional to 557.53, 764.90 and 543.16

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Solution

The fourth proportional to 557.53, 764.90 and 543.16 is: 745.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.53 : 764.90 = 543.16 : x
  2. Step 2: Convert to fraction form
    557.53/764.90 = 543.16/x
  3. Step 3: Cross multiply
    557.53x = 764.90 × 543.16
  4. Step 4: Simplify right side
    557.53x = 415,463.08
  5. Step 5: Solve for x
    x = 415,463.08/557.53
  6. Step 6: Final answer
    x = 745.19

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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.