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Finding the Fourth Proportional to 772.60, 1,156.20 and 540.40

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Solution

The fourth proportional to 772.60, 1,156.20 and 540.40 is: 808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.60 : 1,156.20 = 540.40 : x
  2. Step 2: Convert to fraction form
    772.60/1,156.20 = 540.40/x
  3. Step 3: Cross multiply
    772.60x = 1,156.20 × 540.40
  4. Step 4: Simplify right side
    772.60x = 624,810.48
  5. Step 5: Solve for x
    x = 624,810.48/772.60
  6. Step 6: Final answer
    x = 808.71

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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.