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Finding the Fourth Proportional to 1,314.47, 1,971.15 and 721.35

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Solution

The fourth proportional to 1,314.47, 1,971.15 and 721.35 is: 1,081.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.47 : 1,971.15 = 721.35 : x
  2. Step 2: Convert to fraction form
    1,314.47/1,971.15 = 721.35/x
  3. Step 3: Cross multiply
    1,314.47x = 1,971.15 × 721.35
  4. Step 4: Simplify right side
    1,314.47x = 1,421,889.05
  5. Step 5: Solve for x
    x = 1,421,889.05/1,314.47
  6. Step 6: Final answer
    x = 1,081.72

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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.