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Finding the Fourth Proportional to 848.30, 1,256.78 and 815.90

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Solution

The fourth proportional to 848.30, 1,256.78 and 815.90 is: 1,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.30 : 1,256.78 = 815.90 : x
  2. Step 2: Convert to fraction form
    848.30/1,256.78 = 815.90/x
  3. Step 3: Cross multiply
    848.30x = 1,256.78 × 815.90
  4. Step 4: Simplify right side
    848.30x = 1,025,406.80
  5. Step 5: Solve for x
    x = 1,025,406.80/848.30
  6. Step 6: Final answer
    x = 1,208.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.