Home / 1,471.29-2,205.09-690.18

Finding the Fourth Proportional to 1,471.29, 2,205.09 and 690.18

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Solution

The fourth proportional to 1,471.29, 2,205.09 and 690.18 is: 1,034.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.29 : 2,205.09 = 690.18 : x
  2. Step 2: Convert to fraction form
    1,471.29/2,205.09 = 690.18/x
  3. Step 3: Cross multiply
    1,471.29x = 2,205.09 × 690.18
  4. Step 4: Simplify right side
    1,471.29x = 1,521,909.02
  5. Step 5: Solve for x
    x = 1,521,909.02/1,471.29
  6. Step 6: Final answer
    x = 1,034.40

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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.