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Finding the Fourth Proportional to 782.81, 1,178.15 and 588.82

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Solution

The fourth proportional to 782.81, 1,178.15 and 588.82 is: 886.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.81 : 1,178.15 = 588.82 : x
  2. Step 2: Convert to fraction form
    782.81/1,178.15 = 588.82/x
  3. Step 3: Cross multiply
    782.81x = 1,178.15 × 588.82
  4. Step 4: Simplify right side
    782.81x = 693,717.91
  5. Step 5: Solve for x
    x = 693,717.91/782.81
  6. Step 6: Final answer
    x = 886.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.