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Finding the Fourth Proportional to 552.93, 830.02 and 437.76

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Solution

The fourth proportional to 552.93, 830.02 and 437.76 is: 657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.93 : 830.02 = 437.76 : x
  2. Step 2: Convert to fraction form
    552.93/830.02 = 437.76/x
  3. Step 3: Cross multiply
    552.93x = 830.02 × 437.76
  4. Step 4: Simplify right side
    552.93x = 363,349.56
  5. Step 5: Solve for x
    x = 363,349.56/552.93
  6. Step 6: Final answer
    x = 657.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.