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Finding the Fourth Proportional to 841.80, 1,262.70 and 766.20

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Solution

The fourth proportional to 841.80, 1,262.70 and 766.20 is: 1,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.80 : 1,262.70 = 766.20 : x
  2. Step 2: Convert to fraction form
    841.80/1,262.70 = 766.20/x
  3. Step 3: Cross multiply
    841.80x = 1,262.70 × 766.20
  4. Step 4: Simplify right side
    841.80x = 967,480.74
  5. Step 5: Solve for x
    x = 967,480.74/841.80
  6. Step 6: Final answer
    x = 1,149.30

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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.