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Finding the Fourth Proportional to 1,005.04, 1,387.82 and 632.64

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Solution

The fourth proportional to 1,005.04, 1,387.82 and 632.64 is: 873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.04 : 1,387.82 = 632.64 : x
  2. Step 2: Convert to fraction form
    1,005.04/1,387.82 = 632.64/x
  3. Step 3: Cross multiply
    1,005.04x = 1,387.82 × 632.64
  4. Step 4: Simplify right side
    1,005.04x = 877,990.44
  5. Step 5: Solve for x
    x = 877,990.44/1,005.04
  6. Step 6: Final answer
    x = 873.59

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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.