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Finding the Fourth Proportional to 787.65, 1,086.80 and 601.35

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Solution

The fourth proportional to 787.65, 1,086.80 and 601.35 is: 829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.65 : 1,086.80 = 601.35 : x
  2. Step 2: Convert to fraction form
    787.65/1,086.80 = 601.35/x
  3. Step 3: Cross multiply
    787.65x = 1,086.80 × 601.35
  4. Step 4: Simplify right side
    787.65x = 653,544.17
  5. Step 5: Solve for x
    x = 653,544.17/787.65
  6. Step 6: Final answer
    x = 829.74

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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.