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Finding the Fourth Proportional to 1,064.89, 1,597.53 and 487.75

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Solution

The fourth proportional to 1,064.89, 1,597.53 and 487.75 is: 731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.89 : 1,597.53 = 487.75 : x
  2. Step 2: Convert to fraction form
    1,064.89/1,597.53 = 487.75/x
  3. Step 3: Cross multiply
    1,064.89x = 1,597.53 × 487.75
  4. Step 4: Simplify right side
    1,064.89x = 779,195.26
  5. Step 5: Solve for x
    x = 779,195.26/1,064.89
  6. Step 6: Final answer
    x = 731.71

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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.