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Finding the Fourth Proportional to 833.50, 1,253.10 and 765.19

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Solution

The fourth proportional to 833.50, 1,253.10 and 765.19 is: 1,150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.50 : 1,253.10 = 765.19 : x
  2. Step 2: Convert to fraction form
    833.50/1,253.10 = 765.19/x
  3. Step 3: Cross multiply
    833.50x = 1,253.10 × 765.19
  4. Step 4: Simplify right side
    833.50x = 958,859.59
  5. Step 5: Solve for x
    x = 958,859.59/833.50
  6. Step 6: Final answer
    x = 1,150.40

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Double scale
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1.5x scale

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.