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Finding the Fourth Proportional to 1,007.32, 1,390.05 and 634.18

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Solution

The fourth proportional to 1,007.32, 1,390.05 and 634.18 is: 875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.32 : 1,390.05 = 634.18 : x
  2. Step 2: Convert to fraction form
    1,007.32/1,390.05 = 634.18/x
  3. Step 3: Cross multiply
    1,007.32x = 1,390.05 × 634.18
  4. Step 4: Simplify right side
    1,007.32x = 881,541.91
  5. Step 5: Solve for x
    x = 881,541.91/1,007.32
  6. Step 6: Final answer
    x = 875.14

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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.