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Finding the Fourth Proportional to 1,157.40, 1,736.09 and 291.71

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Solution

The fourth proportional to 1,157.40, 1,736.09 and 291.71 is: 437.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.40 : 1,736.09 = 291.71 : x
  2. Step 2: Convert to fraction form
    1,157.40/1,736.09 = 291.71/x
  3. Step 3: Cross multiply
    1,157.40x = 1,736.09 × 291.71
  4. Step 4: Simplify right side
    1,157.40x = 506,437.70
  5. Step 5: Solve for x
    x = 506,437.70/1,157.40
  6. Step 6: Final answer
    x = 437.56

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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.