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Finding the Fourth Proportional to 610.09, 915.95 and 363.75

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Solution

The fourth proportional to 610.09, 915.95 and 363.75 is: 546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.09 : 915.95 = 363.75 : x
  2. Step 2: Convert to fraction form
    610.09/915.95 = 363.75/x
  3. Step 3: Cross multiply
    610.09x = 915.95 × 363.75
  4. Step 4: Simplify right side
    610.09x = 333,176.81
  5. Step 5: Solve for x
    x = 333,176.81/610.09
  6. Step 6: Final answer
    x = 546.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.