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Finding the Fourth Proportional to 513.61, 708.71 and 314.53

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Solution

The fourth proportional to 513.61, 708.71 and 314.53 is: 434.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.61 : 708.71 = 314.53 : x
  2. Step 2: Convert to fraction form
    513.61/708.71 = 314.53/x
  3. Step 3: Cross multiply
    513.61x = 708.71 × 314.53
  4. Step 4: Simplify right side
    513.61x = 222,909.57
  5. Step 5: Solve for x
    x = 222,909.57/513.61
  6. Step 6: Final answer
    x = 434.01

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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.