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Finding the Fourth Proportional to 651.52, 975.21 and 431.70

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Solution

The fourth proportional to 651.52, 975.21 and 431.70 is: 646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.52 : 975.21 = 431.70 : x
  2. Step 2: Convert to fraction form
    651.52/975.21 = 431.70/x
  3. Step 3: Cross multiply
    651.52x = 975.21 × 431.70
  4. Step 4: Simplify right side
    651.52x = 420,998.16
  5. Step 5: Solve for x
    x = 420,998.16/651.52
  6. Step 6: Final answer
    x = 646.18

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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.