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Finding the Fourth Proportional to 1,053.41, 1,572.82 and 987.80

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Solution

The fourth proportional to 1,053.41, 1,572.82 and 987.80 is: 1,474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.41 : 1,572.82 = 987.80 : x
  2. Step 2: Convert to fraction form
    1,053.41/1,572.82 = 987.80/x
  3. Step 3: Cross multiply
    1,053.41x = 1,572.82 × 987.80
  4. Step 4: Simplify right side
    1,053.41x = 1,553,621.26
  5. Step 5: Solve for x
    x = 1,553,621.26/1,053.41
  6. Step 6: Final answer
    x = 1,474.86

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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.