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Finding the Fourth Proportional to 1,706.60, 2,565.30 and 1,609.40

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Solution

The fourth proportional to 1,706.60, 2,565.30 and 1,609.40 is: 2,419.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.60 : 2,565.30 = 1,609.40 : x
  2. Step 2: Convert to fraction form
    1,706.60/2,565.30 = 1,609.40/x
  3. Step 3: Cross multiply
    1,706.60x = 2,565.30 × 1,609.40
  4. Step 4: Simplify right side
    1,706.60x = 4,128,593.82
  5. Step 5: Solve for x
    x = 4,128,593.82/1,706.60
  6. Step 6: Final answer
    x = 2,419.19

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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.