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Finding the Fourth Proportional to 608.70, 914.59 and 591.76

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Solution

The fourth proportional to 608.70, 914.59 and 591.76 is: 889.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.70 : 914.59 = 591.76 : x
  2. Step 2: Convert to fraction form
    608.70/914.59 = 591.76/x
  3. Step 3: Cross multiply
    608.70x = 914.59 × 591.76
  4. Step 4: Simplify right side
    608.70x = 541,214.52
  5. Step 5: Solve for x
    x = 541,214.52/608.70
  6. Step 6: Final answer
    x = 889.13

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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.