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Finding the Fourth Proportional to 515.74, 712.02 and 341.59

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Solution

The fourth proportional to 515.74, 712.02 and 341.59 is: 471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.74 : 712.02 = 341.59 : x
  2. Step 2: Convert to fraction form
    515.74/712.02 = 341.59/x
  3. Step 3: Cross multiply
    515.74x = 712.02 × 341.59
  4. Step 4: Simplify right side
    515.74x = 243,218.91
  5. Step 5: Solve for x
    x = 243,218.91/515.74
  6. Step 6: Final answer
    x = 471.59

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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.