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Finding the Fourth Proportional to 1,053.50, 1,587.39 and 874.90

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Solution

The fourth proportional to 1,053.50, 1,587.39 and 874.90 is: 1,318.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.50 : 1,587.39 = 874.90 : x
  2. Step 2: Convert to fraction form
    1,053.50/1,587.39 = 874.90/x
  3. Step 3: Cross multiply
    1,053.50x = 1,587.39 × 874.90
  4. Step 4: Simplify right side
    1,053.50x = 1,388,803.54
  5. Step 5: Solve for x
    x = 1,388,803.54/1,053.50
  6. Step 6: Final answer
    x = 1,318.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.