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Finding the Fourth Proportional to 782.46, 1,171.80 and 456.84

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Solution

The fourth proportional to 782.46, 1,171.80 and 456.84 is: 684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.46 : 1,171.80 = 456.84 : x
  2. Step 2: Convert to fraction form
    782.46/1,171.80 = 456.84/x
  3. Step 3: Cross multiply
    782.46x = 1,171.80 × 456.84
  4. Step 4: Simplify right side
    782.46x = 535,325.11
  5. Step 5: Solve for x
    x = 535,325.11/782.46
  6. Step 6: Final answer
    x = 684.16

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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.