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Finding the Fourth Proportional to 512.98, 707.90 and 280.10

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Solution

The fourth proportional to 512.98, 707.90 and 280.10 is: 386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.98 : 707.90 = 280.10 : x
  2. Step 2: Convert to fraction form
    512.98/707.90 = 280.10/x
  3. Step 3: Cross multiply
    512.98x = 707.90 × 280.10
  4. Step 4: Simplify right side
    512.98x = 198,282.79
  5. Step 5: Solve for x
    x = 198,282.79/512.98
  6. Step 6: Final answer
    x = 386.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.