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Finding the Fourth Proportional to 1,087.27, 1,500.46 and 645.53

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Solution

The fourth proportional to 1,087.27, 1,500.46 and 645.53 is: 890.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.27 : 1,500.46 = 645.53 : x
  2. Step 2: Convert to fraction form
    1,087.27/1,500.46 = 645.53/x
  3. Step 3: Cross multiply
    1,087.27x = 1,500.46 × 645.53
  4. Step 4: Simplify right side
    1,087.27x = 968,582.83
  5. Step 5: Solve for x
    x = 968,582.83/1,087.27
  6. Step 6: Final answer
    x = 890.84

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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.