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Finding the Fourth Proportional to 1,007.04, 1,502.55 and 883.92

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Solution

The fourth proportional to 1,007.04, 1,502.55 and 883.92 is: 1,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.04 : 1,502.55 = 883.92 : x
  2. Step 2: Convert to fraction form
    1,007.04/1,502.55 = 883.92/x
  3. Step 3: Cross multiply
    1,007.04x = 1,502.55 × 883.92
  4. Step 4: Simplify right side
    1,007.04x = 1,328,134.00
  5. Step 5: Solve for x
    x = 1,328,134.00/1,007.04
  6. Step 6: Final answer
    x = 1,318.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.