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Finding the Fourth Proportional to 1,147.66, 1,721.70 and 417.76

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Solution

The fourth proportional to 1,147.66, 1,721.70 and 417.76 is: 626.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.66 : 1,721.70 = 417.76 : x
  2. Step 2: Convert to fraction form
    1,147.66/1,721.70 = 417.76/x
  3. Step 3: Cross multiply
    1,147.66x = 1,721.70 × 417.76
  4. Step 4: Simplify right side
    1,147.66x = 719,257.39
  5. Step 5: Solve for x
    x = 719,257.39/1,147.66
  6. Step 6: Final answer
    x = 626.72

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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.