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Finding the Fourth Proportional to 840.92, 1,259.78 and 474.62

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Solution

The fourth proportional to 840.92, 1,259.78 and 474.62 is: 711.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.92 : 1,259.78 = 474.62 : x
  2. Step 2: Convert to fraction form
    840.92/1,259.78 = 474.62/x
  3. Step 3: Cross multiply
    840.92x = 1,259.78 × 474.62
  4. Step 4: Simplify right side
    840.92x = 597,908.11
  5. Step 5: Solve for x
    x = 597,908.11/840.92
  6. Step 6: Final answer
    x = 711.02

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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.