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Finding the Fourth Proportional to 1,314.59, 1,971.62 and 437.08

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Solution

The fourth proportional to 1,314.59, 1,971.62 and 437.08 is: 655.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.59 : 1,971.62 = 437.08 : x
  2. Step 2: Convert to fraction form
    1,314.59/1,971.62 = 437.08/x
  3. Step 3: Cross multiply
    1,314.59x = 1,971.62 × 437.08
  4. Step 4: Simplify right side
    1,314.59x = 861,755.67
  5. Step 5: Solve for x
    x = 861,755.67/1,314.59
  6. Step 6: Final answer
    x = 655.53

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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.