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Finding the Fourth Proportional to 1,310.64, 1,966.12 and 432.90

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Solution

The fourth proportional to 1,310.64, 1,966.12 and 432.90 is: 649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.64 : 1,966.12 = 432.90 : x
  2. Step 2: Convert to fraction form
    1,310.64/1,966.12 = 432.90/x
  3. Step 3: Cross multiply
    1,310.64x = 1,966.12 × 432.90
  4. Step 4: Simplify right side
    1,310.64x = 851,133.35
  5. Step 5: Solve for x
    x = 851,133.35/1,310.64
  6. Step 6: Final answer
    x = 649.40

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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.