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Finding the Fourth Proportional to 610.96, 910.32 and 546.28

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Solution

The fourth proportional to 610.96, 910.32 and 546.28 is: 813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.96 : 910.32 = 546.28 : x
  2. Step 2: Convert to fraction form
    610.96/910.32 = 546.28/x
  3. Step 3: Cross multiply
    610.96x = 910.32 × 546.28
  4. Step 4: Simplify right side
    610.96x = 497,289.61
  5. Step 5: Solve for x
    x = 497,289.61/610.96
  6. Step 6: Final answer
    x = 813.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.