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Finding the Fourth Proportional to 847.54, 1,272.03 and 457.87

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Solution

The fourth proportional to 847.54, 1,272.03 and 457.87 is: 687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.54 : 1,272.03 = 457.87 : x
  2. Step 2: Convert to fraction form
    847.54/1,272.03 = 457.87/x
  3. Step 3: Cross multiply
    847.54x = 1,272.03 × 457.87
  4. Step 4: Simplify right side
    847.54x = 582,424.38
  5. Step 5: Solve for x
    x = 582,424.38/847.54
  6. Step 6: Final answer
    x = 687.19

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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.