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Finding the Fourth Proportional to 787.76, 1,179.36 and 593.58

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Solution

The fourth proportional to 787.76, 1,179.36 and 593.58 is: 888.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.76 : 1,179.36 = 593.58 : x
  2. Step 2: Convert to fraction form
    787.76/1,179.36 = 593.58/x
  3. Step 3: Cross multiply
    787.76x = 1,179.36 × 593.58
  4. Step 4: Simplify right side
    787.76x = 700,048.93
  5. Step 5: Solve for x
    x = 700,048.93/787.76
  6. Step 6: Final answer
    x = 888.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.