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Finding the Fourth Proportional to 1,709.30, 2,565.21 and 736.13

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Solution

The fourth proportional to 1,709.30, 2,565.21 and 736.13 is: 1,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.30 : 2,565.21 = 736.13 : x
  2. Step 2: Convert to fraction form
    1,709.30/2,565.21 = 736.13/x
  3. Step 3: Cross multiply
    1,709.30x = 2,565.21 × 736.13
  4. Step 4: Simplify right side
    1,709.30x = 1,888,328.04
  5. Step 5: Solve for x
    x = 1,888,328.04/1,709.30
  6. Step 6: Final answer
    x = 1,104.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.