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Finding the Fourth Proportional to 823.58, 1,235.60 and 361.40

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Solution

The fourth proportional to 823.58, 1,235.60 and 361.40 is: 542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.58 : 1,235.60 = 361.40 : x
  2. Step 2: Convert to fraction form
    823.58/1,235.60 = 361.40/x
  3. Step 3: Cross multiply
    823.58x = 1,235.60 × 361.40
  4. Step 4: Simplify right side
    823.58x = 446,545.84
  5. Step 5: Solve for x
    x = 446,545.84/823.58
  6. Step 6: Final answer
    x = 542.20

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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.