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Finding the Fourth Proportional to 1,087.17, 1,500.04 and 644.83

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Solution

The fourth proportional to 1,087.17, 1,500.04 and 644.83 is: 889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.17 : 1,500.04 = 644.83 : x
  2. Step 2: Convert to fraction form
    1,087.17/1,500.04 = 644.83/x
  3. Step 3: Cross multiply
    1,087.17x = 1,500.04 × 644.83
  4. Step 4: Simplify right side
    1,087.17x = 967,264.22
  5. Step 5: Solve for x
    x = 967,264.22/1,087.17
  6. Step 6: Final answer
    x = 889.71

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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.