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Finding the Fourth Proportional to 512.80, 707.44 and 316.40

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Solution

The fourth proportional to 512.80, 707.44 and 316.40 is: 436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.80 : 707.44 = 316.40 : x
  2. Step 2: Convert to fraction form
    512.80/707.44 = 316.40/x
  3. Step 3: Cross multiply
    512.80x = 707.44 × 316.40
  4. Step 4: Simplify right side
    512.80x = 223,834.02
  5. Step 5: Solve for x
    x = 223,834.02/512.80
  6. Step 6: Final answer
    x = 436.49

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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.