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Finding the Fourth Proportional to 1,247.61, 1,871.96 and 478.65

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Solution

The fourth proportional to 1,247.61, 1,871.96 and 478.65 is: 718.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.61 : 1,871.96 = 478.65 : x
  2. Step 2: Convert to fraction form
    1,247.61/1,871.96 = 478.65/x
  3. Step 3: Cross multiply
    1,247.61x = 1,871.96 × 478.65
  4. Step 4: Simplify right side
    1,247.61x = 896,011.26
  5. Step 5: Solve for x
    x = 896,011.26/1,247.61
  6. Step 6: Final answer
    x = 718.18

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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.