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Finding the Fourth Proportional to 840.99, 1,158.67 and 630.83

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Solution

The fourth proportional to 840.99, 1,158.67 and 630.83 is: 869.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.99 : 1,158.67 = 630.83 : x
  2. Step 2: Convert to fraction form
    840.99/1,158.67 = 630.83/x
  3. Step 3: Cross multiply
    840.99x = 1,158.67 × 630.83
  4. Step 4: Simplify right side
    840.99x = 730,923.80
  5. Step 5: Solve for x
    x = 730,923.80/840.99
  6. Step 6: Final answer
    x = 869.12

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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.