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Finding the Fourth Proportional to 908.08, 1,358.52 and 787.72

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Solution

The fourth proportional to 908.08, 1,358.52 and 787.72 is: 1,178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.08 : 1,358.52 = 787.72 : x
  2. Step 2: Convert to fraction form
    908.08/1,358.52 = 787.72/x
  3. Step 3: Cross multiply
    908.08x = 1,358.52 × 787.72
  4. Step 4: Simplify right side
    908.08x = 1,070,133.37
  5. Step 5: Solve for x
    x = 1,070,133.37/908.08
  6. Step 6: Final answer
    x = 1,178.46

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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.