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Finding the Fourth Proportional to 1,087.90, 1,501.20 and 645.73

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Solution

The fourth proportional to 1,087.90, 1,501.20 and 645.73 is: 891.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.90 : 1,501.20 = 645.73 : x
  2. Step 2: Convert to fraction form
    1,087.90/1,501.20 = 645.73/x
  3. Step 3: Cross multiply
    1,087.90x = 1,501.20 × 645.73
  4. Step 4: Simplify right side
    1,087.90x = 969,366.12
  5. Step 5: Solve for x
    x = 969,366.12/1,087.90
  6. Step 6: Final answer
    x = 891.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.