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Finding the Fourth Proportional to 1,153.10, 1,591.49 and 655.76

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Solution

The fourth proportional to 1,153.10, 1,591.49 and 655.76 is: 905.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.10 : 1,591.49 = 655.76 : x
  2. Step 2: Convert to fraction form
    1,153.10/1,591.49 = 655.76/x
  3. Step 3: Cross multiply
    1,153.10x = 1,591.49 × 655.76
  4. Step 4: Simplify right side
    1,153.10x = 1,043,624.25
  5. Step 5: Solve for x
    x = 1,043,624.25/1,153.10
  6. Step 6: Final answer
    x = 905.06

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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.