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Finding the Fourth Proportional to 976.93, 1,348.16 and 534.83

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Solution

The fourth proportional to 976.93, 1,348.16 and 534.83 is: 738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.93 : 1,348.16 = 534.83 : x
  2. Step 2: Convert to fraction form
    976.93/1,348.16 = 534.83/x
  3. Step 3: Cross multiply
    976.93x = 1,348.16 × 534.83
  4. Step 4: Simplify right side
    976.93x = 721,034.38
  5. Step 5: Solve for x
    x = 721,034.38/976.93
  6. Step 6: Final answer
    x = 738.06

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1.5x scale

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.