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Finding the Fourth Proportional to 1,006.32, 1,387.76 and 607.91

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Solution

The fourth proportional to 1,006.32, 1,387.76 and 607.91 is: 838.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.32 : 1,387.76 = 607.91 : x
  2. Step 2: Convert to fraction form
    1,006.32/1,387.76 = 607.91/x
  3. Step 3: Cross multiply
    1,006.32x = 1,387.76 × 607.91
  4. Step 4: Simplify right side
    1,006.32x = 843,623.20
  5. Step 5: Solve for x
    x = 843,623.20/1,006.32
  6. Step 6: Final answer
    x = 838.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.