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Finding the Fourth Proportional to 552.57, 830.07 and 431.07

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Solution

The fourth proportional to 552.57, 830.07 and 431.07 is: 647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.57 : 830.07 = 431.07 : x
  2. Step 2: Convert to fraction form
    552.57/830.07 = 431.07/x
  3. Step 3: Cross multiply
    552.57x = 830.07 × 431.07
  4. Step 4: Simplify right side
    552.57x = 357,818.27
  5. Step 5: Solve for x
    x = 357,818.27/552.57
  6. Step 6: Final answer
    x = 647.55

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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.