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Finding the Fourth Proportional to 615.58, 926.47 and 462.31

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Solution

The fourth proportional to 615.58, 926.47 and 462.31 is: 695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.58 : 926.47 = 462.31 : x
  2. Step 2: Convert to fraction form
    615.58/926.47 = 462.31/x
  3. Step 3: Cross multiply
    615.58x = 926.47 × 462.31
  4. Step 4: Simplify right side
    615.58x = 428,319.82
  5. Step 5: Solve for x
    x = 428,319.82/615.58
  6. Step 6: Final answer
    x = 695.80

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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.