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Finding the Fourth Proportional to 893.01, 1,339.61 and 315.75

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Solution

The fourth proportional to 893.01, 1,339.61 and 315.75 is: 473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.01 : 1,339.61 = 315.75 : x
  2. Step 2: Convert to fraction form
    893.01/1,339.61 = 315.75/x
  3. Step 3: Cross multiply
    893.01x = 1,339.61 × 315.75
  4. Step 4: Simplify right side
    893.01x = 422,980.28
  5. Step 5: Solve for x
    x = 422,980.28/893.01
  6. Step 6: Final answer
    x = 473.66

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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.