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Finding the Fourth Proportional to 1,043.06, 1,565.57 and 653.84

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Solution

The fourth proportional to 1,043.06, 1,565.57 and 653.84 is: 981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.06 : 1,565.57 = 653.84 : x
  2. Step 2: Convert to fraction form
    1,043.06/1,565.57 = 653.84/x
  3. Step 3: Cross multiply
    1,043.06x = 1,565.57 × 653.84
  4. Step 4: Simplify right side
    1,043.06x = 1,023,621.19
  5. Step 5: Solve for x
    x = 1,023,621.19/1,043.06
  6. Step 6: Final answer
    x = 981.37

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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.