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Finding the Fourth Proportional to 1,157.53, 1,732.65 and 914.53

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Solution

The fourth proportional to 1,157.53, 1,732.65 and 914.53 is: 1,368.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.53 : 1,732.65 = 914.53 : x
  2. Step 2: Convert to fraction form
    1,157.53/1,732.65 = 914.53/x
  3. Step 3: Cross multiply
    1,157.53x = 1,732.65 × 914.53
  4. Step 4: Simplify right side
    1,157.53x = 1,584,560.40
  5. Step 5: Solve for x
    x = 1,584,560.40/1,157.53
  6. Step 6: Final answer
    x = 1,368.92

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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.