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Finding the Fourth Proportional to 814.96, 1,124.40 and 711.10

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Solution

The fourth proportional to 814.96, 1,124.40 and 711.10 is: 981.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.96 : 1,124.40 = 711.10 : x
  2. Step 2: Convert to fraction form
    814.96/1,124.40 = 711.10/x
  3. Step 3: Cross multiply
    814.96x = 1,124.40 × 711.10
  4. Step 4: Simplify right side
    814.96x = 799,560.84
  5. Step 5: Solve for x
    x = 799,560.84/814.96
  6. Step 6: Final answer
    x = 981.10

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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.