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Finding the Fourth Proportional to 1,159.17, 1,738.67 and 671.91

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Solution

The fourth proportional to 1,159.17, 1,738.67 and 671.91 is: 1,007.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.17 : 1,738.67 = 671.91 : x
  2. Step 2: Convert to fraction form
    1,159.17/1,738.67 = 671.91/x
  3. Step 3: Cross multiply
    1,159.17x = 1,738.67 × 671.91
  4. Step 4: Simplify right side
    1,159.17x = 1,168,226.40
  5. Step 5: Solve for x
    x = 1,168,226.40/1,159.17
  6. Step 6: Final answer
    x = 1,007.81

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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.