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Finding the Fourth Proportional to 782.65, 1,173.84 and 476.47

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Solution

The fourth proportional to 782.65, 1,173.84 and 476.47 is: 714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.65 : 1,173.84 = 476.47 : x
  2. Step 2: Convert to fraction form
    782.65/1,173.84 = 476.47/x
  3. Step 3: Cross multiply
    782.65x = 1,173.84 × 476.47
  4. Step 4: Simplify right side
    782.65x = 559,299.54
  5. Step 5: Solve for x
    x = 559,299.54/782.65
  6. Step 6: Final answer
    x = 714.62

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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.