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Finding the Fourth Proportional to 1,041.71, 1,562.54 and 311.27

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Solution

The fourth proportional to 1,041.71, 1,562.54 and 311.27 is: 466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.71 : 1,562.54 = 311.27 : x
  2. Step 2: Convert to fraction form
    1,041.71/1,562.54 = 311.27/x
  3. Step 3: Cross multiply
    1,041.71x = 1,562.54 × 311.27
  4. Step 4: Simplify right side
    1,041.71x = 486,362.46
  5. Step 5: Solve for x
    x = 486,362.46/1,041.71
  6. Step 6: Final answer
    x = 466.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.