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Finding the Fourth Proportional to 1,043.70, 1,565.42 and 313.22

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Solution

The fourth proportional to 1,043.70, 1,565.42 and 313.22 is: 469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.70 : 1,565.42 = 313.22 : x
  2. Step 2: Convert to fraction form
    1,043.70/1,565.42 = 313.22/x
  3. Step 3: Cross multiply
    1,043.70x = 1,565.42 × 313.22
  4. Step 4: Simplify right side
    1,043.70x = 490,311.46
  5. Step 5: Solve for x
    x = 490,311.46/1,043.70
  6. Step 6: Final answer
    x = 469.78

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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.