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Finding the Fourth Proportional to 1,759.40, 2,626.62 and 1,565

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Solution

The fourth proportional to 1,759.40, 2,626.62 and 1,565 is: 2,336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.40 : 2,626.62 = 1,565 : x
  2. Step 2: Convert to fraction form
    1,759.40/2,626.62 = 1,565/x
  3. Step 3: Cross multiply
    1,759.40x = 2,626.62 × 1,565
  4. Step 4: Simplify right side
    1,759.40x = 4,110,660.30
  5. Step 5: Solve for x
    x = 4,110,660.30/1,759.40
  6. Step 6: Final answer
    x = 2,336.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.