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Finding the Fourth Proportional to 514.55, 710.01 and 290.49

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Solution

The fourth proportional to 514.55, 710.01 and 290.49 is: 400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.55 : 710.01 = 290.49 : x
  2. Step 2: Convert to fraction form
    514.55/710.01 = 290.49/x
  3. Step 3: Cross multiply
    514.55x = 710.01 × 290.49
  4. Step 4: Simplify right side
    514.55x = 206,245.80
  5. Step 5: Solve for x
    x = 206,245.80/514.55
  6. Step 6: Final answer
    x = 400.83

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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.