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Finding the Fourth Proportional to 1,087.25, 1,500.45 and 621.50

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Solution

The fourth proportional to 1,087.25, 1,500.45 and 621.50 is: 857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.25 : 1,500.45 = 621.50 : x
  2. Step 2: Convert to fraction form
    1,087.25/1,500.45 = 621.50/x
  3. Step 3: Cross multiply
    1,087.25x = 1,500.45 × 621.50
  4. Step 4: Simplify right side
    1,087.25x = 932,529.68
  5. Step 5: Solve for x
    x = 932,529.68/1,087.25
  6. Step 6: Final answer
    x = 857.70

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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.