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Finding the Fourth Proportional to 833.60, 1,253.10 and 714.80

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Solution

The fourth proportional to 833.60, 1,253.10 and 714.80 is: 1,074.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.60 : 1,253.10 = 714.80 : x
  2. Step 2: Convert to fraction form
    833.60/1,253.10 = 714.80/x
  3. Step 3: Cross multiply
    833.60x = 1,253.10 × 714.80
  4. Step 4: Simplify right side
    833.60x = 895,715.88
  5. Step 5: Solve for x
    x = 895,715.88/833.60
  6. Step 6: Final answer
    x = 1,074.52

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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.