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Finding the Fourth Proportional to 1,005.42, 1,387.07 and 612.30

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Solution

The fourth proportional to 1,005.42, 1,387.07 and 612.30 is: 844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.42 : 1,387.07 = 612.30 : x
  2. Step 2: Convert to fraction form
    1,005.42/1,387.07 = 612.30/x
  3. Step 3: Cross multiply
    1,005.42x = 1,387.07 × 612.30
  4. Step 4: Simplify right side
    1,005.42x = 849,299.90
  5. Step 5: Solve for x
    x = 849,299.90/1,005.42
  6. Step 6: Final answer
    x = 844.72

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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.