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Finding the Fourth Proportional to 833.32, 1,149.36 and 538.36

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Solution

The fourth proportional to 833.32, 1,149.36 and 538.36 is: 742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.32 : 1,149.36 = 538.36 : x
  2. Step 2: Convert to fraction form
    833.32/1,149.36 = 538.36/x
  3. Step 3: Cross multiply
    833.32x = 1,149.36 × 538.36
  4. Step 4: Simplify right side
    833.32x = 618,769.45
  5. Step 5: Solve for x
    x = 618,769.45/833.32
  6. Step 6: Final answer
    x = 742.54

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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.