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Finding the Fourth Proportional to 1,301.21, 1,951.80 and 314.02

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Solution

The fourth proportional to 1,301.21, 1,951.80 and 314.02 is: 471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.21 : 1,951.80 = 314.02 : x
  2. Step 2: Convert to fraction form
    1,301.21/1,951.80 = 314.02/x
  3. Step 3: Cross multiply
    1,301.21x = 1,951.80 × 314.02
  4. Step 4: Simplify right side
    1,301.21x = 612,893.83
  5. Step 5: Solve for x
    x = 612,893.83/1,301.21
  6. Step 6: Final answer
    x = 471.02

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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.