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Finding the Fourth Proportional to 1,490.74, 2,237.01 and 517.53

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Solution

The fourth proportional to 1,490.74, 2,237.01 and 517.53 is: 776.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.74 : 2,237.01 = 517.53 : x
  2. Step 2: Convert to fraction form
    1,490.74/2,237.01 = 517.53/x
  3. Step 3: Cross multiply
    1,490.74x = 2,237.01 × 517.53
  4. Step 4: Simplify right side
    1,490.74x = 1,157,719.79
  5. Step 5: Solve for x
    x = 1,157,719.79/1,490.74
  6. Step 6: Final answer
    x = 776.61

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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.