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Finding the Fourth Proportional to 833.26, 1,248.98 and 508.26

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Solution

The fourth proportional to 833.26, 1,248.98 and 508.26 is: 761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.26 : 1,248.98 = 508.26 : x
  2. Step 2: Convert to fraction form
    833.26/1,248.98 = 508.26/x
  3. Step 3: Cross multiply
    833.26x = 1,248.98 × 508.26
  4. Step 4: Simplify right side
    833.26x = 634,806.57
  5. Step 5: Solve for x
    x = 634,806.57/833.26
  6. Step 6: Final answer
    x = 761.83

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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.