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Finding the Fourth Proportional to 513.13, 707.69 and 316.69

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Solution

The fourth proportional to 513.13, 707.69 and 316.69 is: 436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.13 : 707.69 = 316.69 : x
  2. Step 2: Convert to fraction form
    513.13/707.69 = 316.69/x
  3. Step 3: Cross multiply
    513.13x = 707.69 × 316.69
  4. Step 4: Simplify right side
    513.13x = 224,115.60
  5. Step 5: Solve for x
    x = 224,115.60/513.13
  6. Step 6: Final answer
    x = 436.77

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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.