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Finding the Fourth Proportional to 782.95, 1,174.02 and 392.53

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Solution

The fourth proportional to 782.95, 1,174.02 and 392.53 is: 588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.95 : 1,174.02 = 392.53 : x
  2. Step 2: Convert to fraction form
    782.95/1,174.02 = 392.53/x
  3. Step 3: Cross multiply
    782.95x = 1,174.02 × 392.53
  4. Step 4: Simplify right side
    782.95x = 460,838.07
  5. Step 5: Solve for x
    x = 460,838.07/782.95
  6. Step 6: Final answer
    x = 588.59

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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.