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Finding the Fourth Proportional to 2,440.65, 3,660.98 and 591.76

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Solution

The fourth proportional to 2,440.65, 3,660.98 and 591.76 is: 887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.65 : 3,660.98 = 591.76 : x
  2. Step 2: Convert to fraction form
    2,440.65/3,660.98 = 591.76/x
  3. Step 3: Cross multiply
    2,440.65x = 3,660.98 × 591.76
  4. Step 4: Simplify right side
    2,440.65x = 2,166,427.80
  5. Step 5: Solve for x
    x = 2,166,427.80/2,440.65
  6. Step 6: Final answer
    x = 887.64

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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.