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Finding the Fourth Proportional to 976.94, 1,348.18 and 534.84

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Solution

The fourth proportional to 976.94, 1,348.18 and 534.84 is: 738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.94 : 1,348.18 = 534.84 : x
  2. Step 2: Convert to fraction form
    976.94/1,348.18 = 534.84/x
  3. Step 3: Cross multiply
    976.94x = 1,348.18 × 534.84
  4. Step 4: Simplify right side
    976.94x = 721,060.83
  5. Step 5: Solve for x
    x = 721,060.83/976.94
  6. Step 6: Final answer
    x = 738.08

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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.