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Finding the Fourth Proportional to 833.40, 1,149.84 and 501.90

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Solution

The fourth proportional to 833.40, 1,149.84 and 501.90 is: 692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.40 : 1,149.84 = 501.90 : x
  2. Step 2: Convert to fraction form
    833.40/1,149.84 = 501.90/x
  3. Step 3: Cross multiply
    833.40x = 1,149.84 × 501.90
  4. Step 4: Simplify right side
    833.40x = 577,104.70
  5. Step 5: Solve for x
    x = 577,104.70/833.40
  6. Step 6: Final answer
    x = 692.47

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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.