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Finding the Fourth Proportional to 788.55, 1,180.38 and 592.47

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Solution

The fourth proportional to 788.55, 1,180.38 and 592.47 is: 886.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.55 : 1,180.38 = 592.47 : x
  2. Step 2: Convert to fraction form
    788.55/1,180.38 = 592.47/x
  3. Step 3: Cross multiply
    788.55x = 1,180.38 × 592.47
  4. Step 4: Simplify right side
    788.55x = 699,339.74
  5. Step 5: Solve for x
    x = 699,339.74/788.55
  6. Step 6: Final answer
    x = 886.87

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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.