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Finding the Fourth Proportional to 1,087.23, 1,500.15 and 645.28

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Solution

The fourth proportional to 1,087.23, 1,500.15 and 645.28 is: 890.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.23 : 1,500.15 = 645.28 : x
  2. Step 2: Convert to fraction form
    1,087.23/1,500.15 = 645.28/x
  3. Step 3: Cross multiply
    1,087.23x = 1,500.15 × 645.28
  4. Step 4: Simplify right side
    1,087.23x = 968,013.04
  5. Step 5: Solve for x
    x = 968,013.04/1,087.23
  6. Step 6: Final answer
    x = 890.35

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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.