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Finding the Fourth Proportional to 579.59, 869.40 and 146.75

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Solution

The fourth proportional to 579.59, 869.40 and 146.75 is: 220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.59 : 869.40 = 146.75 : x
  2. Step 2: Convert to fraction form
    579.59/869.40 = 146.75/x
  3. Step 3: Cross multiply
    579.59x = 869.40 × 146.75
  4. Step 4: Simplify right side
    579.59x = 127,580.10
  5. Step 5: Solve for x
    x = 127,580.10/579.59
  6. Step 6: Final answer
    x = 220.12

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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.