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Finding the Fourth Proportional to 807.74, 1,209.46 and 529.41

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Solution

The fourth proportional to 807.74, 1,209.46 and 529.41 is: 792.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.74 : 1,209.46 = 529.41 : x
  2. Step 2: Convert to fraction form
    807.74/1,209.46 = 529.41/x
  3. Step 3: Cross multiply
    807.74x = 1,209.46 × 529.41
  4. Step 4: Simplify right side
    807.74x = 640,295.71
  5. Step 5: Solve for x
    x = 640,295.71/807.74
  6. Step 6: Final answer
    x = 792.70

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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.