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Finding the Fourth Proportional to 515.47, 709.57 and 449.86

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Solution

The fourth proportional to 515.47, 709.57 and 449.86 is: 619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.47 : 709.57 = 449.86 : x
  2. Step 2: Convert to fraction form
    515.47/709.57 = 449.86/x
  3. Step 3: Cross multiply
    515.47x = 709.57 × 449.86
  4. Step 4: Simplify right side
    515.47x = 319,207.16
  5. Step 5: Solve for x
    x = 319,207.16/515.47
  6. Step 6: Final answer
    x = 619.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.