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Finding the Fourth Proportional to 1,087.16, 1,500.30 and 645.40

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Solution

The fourth proportional to 1,087.16, 1,500.30 and 645.40 is: 890.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.16 : 1,500.30 = 645.40 : x
  2. Step 2: Convert to fraction form
    1,087.16/1,500.30 = 645.40/x
  3. Step 3: Cross multiply
    1,087.16x = 1,500.30 × 645.40
  4. Step 4: Simplify right side
    1,087.16x = 968,293.62
  5. Step 5: Solve for x
    x = 968,293.62/1,087.16
  6. Step 6: Final answer
    x = 890.66

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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.