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Finding the Fourth Proportional to 913.76, 1,371.60 and 401.12

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Solution

The fourth proportional to 913.76, 1,371.60 and 401.12 is: 602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.76 : 1,371.60 = 401.12 : x
  2. Step 2: Convert to fraction form
    913.76/1,371.60 = 401.12/x
  3. Step 3: Cross multiply
    913.76x = 1,371.60 × 401.12
  4. Step 4: Simplify right side
    913.76x = 550,176.19
  5. Step 5: Solve for x
    x = 550,176.19/913.76
  6. Step 6: Final answer
    x = 602.10

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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.