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Finding the Fourth Proportional to 1,053.75, 1,587.77 and 875.15

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Solution

The fourth proportional to 1,053.75, 1,587.77 and 875.15 is: 1,318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.75 : 1,587.77 = 875.15 : x
  2. Step 2: Convert to fraction form
    1,053.75/1,587.77 = 875.15/x
  3. Step 3: Cross multiply
    1,053.75x = 1,587.77 × 875.15
  4. Step 4: Simplify right side
    1,053.75x = 1,389,536.92
  5. Step 5: Solve for x
    x = 1,389,536.92/1,053.75
  6. Step 6: Final answer
    x = 1,318.66

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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.