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Finding the Fourth Proportional to 782.18, 1,079.76 and 530.42

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Solution

The fourth proportional to 782.18, 1,079.76 and 530.42 is: 732.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.18 : 1,079.76 = 530.42 : x
  2. Step 2: Convert to fraction form
    782.18/1,079.76 = 530.42/x
  3. Step 3: Cross multiply
    782.18x = 1,079.76 × 530.42
  4. Step 4: Simplify right side
    782.18x = 572,718.91
  5. Step 5: Solve for x
    x = 572,718.91/782.18
  6. Step 6: Final answer
    x = 732.21

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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.