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Finding the Fourth Proportional to 987.48, 1,474.52 and 883.59

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Solution

The fourth proportional to 987.48, 1,474.52 and 883.59 is: 1,319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.48 : 1,474.52 = 883.59 : x
  2. Step 2: Convert to fraction form
    987.48/1,474.52 = 883.59/x
  3. Step 3: Cross multiply
    987.48x = 1,474.52 × 883.59
  4. Step 4: Simplify right side
    987.48x = 1,302,866.71
  5. Step 5: Solve for x
    x = 1,302,866.71/987.48
  6. Step 6: Final answer
    x = 1,319.39

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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.