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Finding the Fourth Proportional to 615.23, 926.32 and 542.57

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Solution

The fourth proportional to 615.23, 926.32 and 542.57 is: 816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.23 : 926.32 = 542.57 : x
  2. Step 2: Convert to fraction form
    615.23/926.32 = 542.57/x
  3. Step 3: Cross multiply
    615.23x = 926.32 × 542.57
  4. Step 4: Simplify right side
    615.23x = 502,598.58
  5. Step 5: Solve for x
    x = 502,598.58/615.23
  6. Step 6: Final answer
    x = 816.92

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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.