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Finding the Fourth Proportional to 848.55, 1,273.37 and 772.95

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Solution

The fourth proportional to 848.55, 1,273.37 and 772.95 is: 1,159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.55 : 1,273.37 = 772.95 : x
  2. Step 2: Convert to fraction form
    848.55/1,273.37 = 772.95/x
  3. Step 3: Cross multiply
    848.55x = 1,273.37 × 772.95
  4. Step 4: Simplify right side
    848.55x = 984,247.48
  5. Step 5: Solve for x
    x = 984,247.48/848.55
  6. Step 6: Final answer
    x = 1,159.92

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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.