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Finding the Fourth Proportional to 848.38, 1,261.61 and 822.40

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Solution

The fourth proportional to 848.38, 1,261.61 and 822.40 is: 1,222.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.38 : 1,261.61 = 822.40 : x
  2. Step 2: Convert to fraction form
    848.38/1,261.61 = 822.40/x
  3. Step 3: Cross multiply
    848.38x = 1,261.61 × 822.40
  4. Step 4: Simplify right side
    848.38x = 1,037,548.06
  5. Step 5: Solve for x
    x = 1,037,548.06/848.38
  6. Step 6: Final answer
    x = 1,222.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.