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Finding the Fourth Proportional to 1,043.10, 1,565.82 and 556.02

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Solution

The fourth proportional to 1,043.10, 1,565.82 and 556.02 is: 834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.10 : 1,565.82 = 556.02 : x
  2. Step 2: Convert to fraction form
    1,043.10/1,565.82 = 556.02/x
  3. Step 3: Cross multiply
    1,043.10x = 1,565.82 × 556.02
  4. Step 4: Simplify right side
    1,043.10x = 870,627.24
  5. Step 5: Solve for x
    x = 870,627.24/1,043.10
  6. Step 6: Final answer
    x = 834.65

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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.