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Finding the Fourth Proportional to 787.46, 1,085.94 and 538.38

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Solution

The fourth proportional to 787.46, 1,085.94 and 538.38 is: 742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.46 : 1,085.94 = 538.38 : x
  2. Step 2: Convert to fraction form
    787.46/1,085.94 = 538.38/x
  3. Step 3: Cross multiply
    787.46x = 1,085.94 × 538.38
  4. Step 4: Simplify right side
    787.46x = 584,648.38
  5. Step 5: Solve for x
    x = 584,648.38/787.46
  6. Step 6: Final answer
    x = 742.45

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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.