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Finding the Fourth Proportional to 513.40, 707.76 and 316.78

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Solution

The fourth proportional to 513.40, 707.76 and 316.78 is: 436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.40 : 707.76 = 316.78 : x
  2. Step 2: Convert to fraction form
    513.40/707.76 = 316.78/x
  3. Step 3: Cross multiply
    513.40x = 707.76 × 316.78
  4. Step 4: Simplify right side
    513.40x = 224,204.21
  5. Step 5: Solve for x
    x = 224,204.21/513.40
  6. Step 6: Final answer
    x = 436.70

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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.