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Finding the Fourth Proportional to 1,151.70, 1,725.45 and 663.30

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Solution

The fourth proportional to 1,151.70, 1,725.45 and 663.30 is: 993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.70 : 1,725.45 = 663.30 : x
  2. Step 2: Convert to fraction form
    1,151.70/1,725.45 = 663.30/x
  3. Step 3: Cross multiply
    1,151.70x = 1,725.45 × 663.30
  4. Step 4: Simplify right side
    1,151.70x = 1,144,490.99
  5. Step 5: Solve for x
    x = 1,144,490.99/1,151.70
  6. Step 6: Final answer
    x = 993.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.