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Finding the Fourth Proportional to 615.77, 849.11 and 458.15

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Solution

The fourth proportional to 615.77, 849.11 and 458.15 is: 631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.77 : 849.11 = 458.15 : x
  2. Step 2: Convert to fraction form
    615.77/849.11 = 458.15/x
  3. Step 3: Cross multiply
    615.77x = 849.11 × 458.15
  4. Step 4: Simplify right side
    615.77x = 389,013.21
  5. Step 5: Solve for x
    x = 389,013.21/615.77
  6. Step 6: Final answer
    x = 631.75

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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.