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Finding the Fourth Proportional to 488.59, 732.74 and 159.53

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Solution

The fourth proportional to 488.59, 732.74 and 159.53 is: 239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.59 : 732.74 = 159.53 : x
  2. Step 2: Convert to fraction form
    488.59/732.74 = 159.53/x
  3. Step 3: Cross multiply
    488.59x = 732.74 × 159.53
  4. Step 4: Simplify right side
    488.59x = 116,893.21
  5. Step 5: Solve for x
    x = 116,893.21/488.59
  6. Step 6: Final answer
    x = 239.25

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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.