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Finding the Fourth Proportional to 787.56, 1,178.70 and 603.96

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Solution

The fourth proportional to 787.56, 1,178.70 and 603.96 is: 903.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.56 : 1,178.70 = 603.96 : x
  2. Step 2: Convert to fraction form
    787.56/1,178.70 = 603.96/x
  3. Step 3: Cross multiply
    787.56x = 1,178.70 × 603.96
  4. Step 4: Simplify right side
    787.56x = 711,887.65
  5. Step 5: Solve for x
    x = 711,887.65/787.56
  6. Step 6: Final answer
    x = 903.92

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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.