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Finding the Fourth Proportional to 1,275.61, 1,759.75 and 833.35

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Solution

The fourth proportional to 1,275.61, 1,759.75 and 833.35 is: 1,149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.61 : 1,759.75 = 833.35 : x
  2. Step 2: Convert to fraction form
    1,275.61/1,759.75 = 833.35/x
  3. Step 3: Cross multiply
    1,275.61x = 1,759.75 × 833.35
  4. Step 4: Simplify right side
    1,275.61x = 1,466,487.66
  5. Step 5: Solve for x
    x = 1,466,487.66/1,275.61
  6. Step 6: Final answer
    x = 1,149.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.