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Finding the Fourth Proportional to 807.11, 1,113.78 and 457.80

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Solution

The fourth proportional to 807.11, 1,113.78 and 457.80 is: 631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.11 : 1,113.78 = 457.80 : x
  2. Step 2: Convert to fraction form
    807.11/1,113.78 = 457.80/x
  3. Step 3: Cross multiply
    807.11x = 1,113.78 × 457.80
  4. Step 4: Simplify right side
    807.11x = 509,882.92
  5. Step 5: Solve for x
    x = 509,882.92/807.11
  6. Step 6: Final answer
    x = 631.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.