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Finding the Fourth Proportional to 787.20, 1,085.76 and 538.32

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Solution

The fourth proportional to 787.20, 1,085.76 and 538.32 is: 742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.20 : 1,085.76 = 538.32 : x
  2. Step 2: Convert to fraction form
    787.20/1,085.76 = 538.32/x
  3. Step 3: Cross multiply
    787.20x = 1,085.76 × 538.32
  4. Step 4: Simplify right side
    787.20x = 584,486.32
  5. Step 5: Solve for x
    x = 584,486.32/787.20
  6. Step 6: Final answer
    x = 742.49

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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.