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Finding the Fourth Proportional to 848.34, 1,272.87 and 815.22

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Solution

The fourth proportional to 848.34, 1,272.87 and 815.22 is: 1,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.34 : 1,272.87 = 815.22 : x
  2. Step 2: Convert to fraction form
    848.34/1,272.87 = 815.22/x
  3. Step 3: Cross multiply
    848.34x = 1,272.87 × 815.22
  4. Step 4: Simplify right side
    848.34x = 1,037,669.08
  5. Step 5: Solve for x
    x = 1,037,669.08/848.34
  6. Step 6: Final answer
    x = 1,223.18

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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.