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Finding the Fourth Proportional to 782.68, 1,171.06 and 486.24

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Solution

The fourth proportional to 782.68, 1,171.06 and 486.24 is: 727.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.68 : 1,171.06 = 486.24 : x
  2. Step 2: Convert to fraction form
    782.68/1,171.06 = 486.24/x
  3. Step 3: Cross multiply
    782.68x = 1,171.06 × 486.24
  4. Step 4: Simplify right side
    782.68x = 569,416.21
  5. Step 5: Solve for x
    x = 569,416.21/782.68
  6. Step 6: Final answer
    x = 727.52

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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.