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Finding the Fourth Proportional to 787.39, 1,084.12 and 714.49

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Solution

The fourth proportional to 787.39, 1,084.12 and 714.49 is: 983.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.39 : 1,084.12 = 714.49 : x
  2. Step 2: Convert to fraction form
    787.39/1,084.12 = 714.49/x
  3. Step 3: Cross multiply
    787.39x = 1,084.12 × 714.49
  4. Step 4: Simplify right side
    787.39x = 774,592.90
  5. Step 5: Solve for x
    x = 774,592.90/787.39
  6. Step 6: Final answer
    x = 983.75

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1.5x scale

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.