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Finding the Fourth Proportional to 458.25, 690.50 and 408.53

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Solution

The fourth proportional to 458.25, 690.50 and 408.53 is: 615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.25 : 690.50 = 408.53 : x
  2. Step 2: Convert to fraction form
    458.25/690.50 = 408.53/x
  3. Step 3: Cross multiply
    458.25x = 690.50 × 408.53
  4. Step 4: Simplify right side
    458.25x = 282,084.47
  5. Step 5: Solve for x
    x = 282,084.47/458.25
  6. Step 6: Final answer
    x = 615.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.