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Finding the Fourth Proportional to 787.12, 1,173.80 and 698.61

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Solution

The fourth proportional to 787.12, 1,173.80 and 698.61 is: 1,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.12 : 1,173.80 = 698.61 : x
  2. Step 2: Convert to fraction form
    787.12/1,173.80 = 698.61/x
  3. Step 3: Cross multiply
    787.12x = 1,173.80 × 698.61
  4. Step 4: Simplify right side
    787.12x = 820,030.16
  5. Step 5: Solve for x
    x = 820,030.16/787.12
  6. Step 6: Final answer
    x = 1,041.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.