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Finding the Fourth Proportional to 782.32, 1,079.76 and 498.64

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Solution

The fourth proportional to 782.32, 1,079.76 and 498.64 is: 688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.32 : 1,079.76 = 498.64 : x
  2. Step 2: Convert to fraction form
    782.32/1,079.76 = 498.64/x
  3. Step 3: Cross multiply
    782.32x = 1,079.76 × 498.64
  4. Step 4: Simplify right side
    782.32x = 538,411.53
  5. Step 5: Solve for x
    x = 538,411.53/782.32
  6. Step 6: Final answer
    x = 688.22

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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.