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Finding the Fourth Proportional to 1,043.72, 1,565.12 and 313.15

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Solution

The fourth proportional to 1,043.72, 1,565.12 and 313.15 is: 469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.72 : 1,565.12 = 313.15 : x
  2. Step 2: Convert to fraction form
    1,043.72/1,565.12 = 313.15/x
  3. Step 3: Cross multiply
    1,043.72x = 1,565.12 × 313.15
  4. Step 4: Simplify right side
    1,043.72x = 490,107.94
  5. Step 5: Solve for x
    x = 490,107.94/1,043.72
  6. Step 6: Final answer
    x = 469.58

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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.