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Finding the Fourth Proportional to 840.96, 1,162.17 and 631.83

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Solution

The fourth proportional to 840.96, 1,162.17 and 631.83 is: 873.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.96 : 1,162.17 = 631.83 : x
  2. Step 2: Convert to fraction form
    840.96/1,162.17 = 631.83/x
  3. Step 3: Cross multiply
    840.96x = 1,162.17 × 631.83
  4. Step 4: Simplify right side
    840.96x = 734,293.87
  5. Step 5: Solve for x
    x = 734,293.87/840.96
  6. Step 6: Final answer
    x = 873.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.