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Finding the Fourth Proportional to 787.47, 1,085.43 and 692.70

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Solution

The fourth proportional to 787.47, 1,085.43 and 692.70 is: 954.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.47 : 1,085.43 = 692.70 : x
  2. Step 2: Convert to fraction form
    787.47/1,085.43 = 692.70/x
  3. Step 3: Cross multiply
    787.47x = 1,085.43 × 692.70
  4. Step 4: Simplify right side
    787.47x = 751,877.36
  5. Step 5: Solve for x
    x = 751,877.36/787.47
  6. Step 6: Final answer
    x = 954.80

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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.