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Finding the Fourth Proportional to 1,043.10, 1,565.04 and 465.57

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Solution

The fourth proportional to 1,043.10, 1,565.04 and 465.57 is: 698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.10 : 1,565.04 = 465.57 : x
  2. Step 2: Convert to fraction form
    1,043.10/1,565.04 = 465.57/x
  3. Step 3: Cross multiply
    1,043.10x = 1,565.04 × 465.57
  4. Step 4: Simplify right side
    1,043.10x = 728,635.67
  5. Step 5: Solve for x
    x = 728,635.67/1,043.10
  6. Step 6: Final answer
    x = 698.53

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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.