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Finding the Fourth Proportional to 601.60, 834.48 and 549.76

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Solution

The fourth proportional to 601.60, 834.48 and 549.76 is: 762.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.60 : 834.48 = 549.76 : x
  2. Step 2: Convert to fraction form
    601.60/834.48 = 549.76/x
  3. Step 3: Cross multiply
    601.60x = 834.48 × 549.76
  4. Step 4: Simplify right side
    601.60x = 458,763.72
  5. Step 5: Solve for x
    x = 458,763.72/601.60
  6. Step 6: Final answer
    x = 762.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.