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Finding the Fourth Proportional to 604.06, 834.71 and 542.70

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Solution

The fourth proportional to 604.06, 834.71 and 542.70 is: 749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.06 : 834.71 = 542.70 : x
  2. Step 2: Convert to fraction form
    604.06/834.71 = 542.70/x
  3. Step 3: Cross multiply
    604.06x = 834.71 × 542.70
  4. Step 4: Simplify right side
    604.06x = 452,994.40
  5. Step 5: Solve for x
    x = 452,994.40/604.06
  6. Step 6: Final answer
    x = 749.92

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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.