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Finding the Fourth Proportional to 1,275.68, 1,759.05 and 833.36

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Solution

The fourth proportional to 1,275.68, 1,759.05 and 833.36 is: 1,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.68 : 1,759.05 = 833.36 : x
  2. Step 2: Convert to fraction form
    1,275.68/1,759.05 = 833.36/x
  3. Step 3: Cross multiply
    1,275.68x = 1,759.05 × 833.36
  4. Step 4: Simplify right side
    1,275.68x = 1,465,913.11
  5. Step 5: Solve for x
    x = 1,465,913.11/1,275.68
  6. Step 6: Final answer
    x = 1,149.12

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1.5x scale

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.