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Finding the Fourth Proportional to 671.32, 1,007.29 and 643.99

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Solution

The fourth proportional to 671.32, 1,007.29 and 643.99 is: 966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.32 : 1,007.29 = 643.99 : x
  2. Step 2: Convert to fraction form
    671.32/1,007.29 = 643.99/x
  3. Step 3: Cross multiply
    671.32x = 1,007.29 × 643.99
  4. Step 4: Simplify right side
    671.32x = 648,681.47
  5. Step 5: Solve for x
    x = 648,681.47/671.32
  6. Step 6: Final answer
    x = 966.28

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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.