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Finding the Fourth Proportional to 1,488.74, 2,234.01 and 515.53

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Solution

The fourth proportional to 1,488.74, 2,234.01 and 515.53 is: 773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.74 : 2,234.01 = 515.53 : x
  2. Step 2: Convert to fraction form
    1,488.74/2,234.01 = 515.53/x
  3. Step 3: Cross multiply
    1,488.74x = 2,234.01 × 515.53
  4. Step 4: Simplify right side
    1,488.74x = 1,151,688.01
  5. Step 5: Solve for x
    x = 1,151,688.01/1,488.74
  6. Step 6: Final answer
    x = 773.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.