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Finding the Fourth Proportional to 615.26, 921.67 and 383.60

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Solution

The fourth proportional to 615.26, 921.67 and 383.60 is: 574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.26 : 921.67 = 383.60 : x
  2. Step 2: Convert to fraction form
    615.26/921.67 = 383.60/x
  3. Step 3: Cross multiply
    615.26x = 921.67 × 383.60
  4. Step 4: Simplify right side
    615.26x = 353,552.61
  5. Step 5: Solve for x
    x = 353,552.61/615.26
  6. Step 6: Final answer
    x = 574.64

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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.