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Finding the Fourth Proportional to 976.13, 1,347.08 and 534.05

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Solution

The fourth proportional to 976.13, 1,347.08 and 534.05 is: 736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.13 : 1,347.08 = 534.05 : x
  2. Step 2: Convert to fraction form
    976.13/1,347.08 = 534.05/x
  3. Step 3: Cross multiply
    976.13x = 1,347.08 × 534.05
  4. Step 4: Simplify right side
    976.13x = 719,398.67
  5. Step 5: Solve for x
    x = 719,398.67/976.13
  6. Step 6: Final answer
    x = 736.99

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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.