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Finding the Fourth Proportional to 1,314.61, 1,972.01 and 437.07

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Solution

The fourth proportional to 1,314.61, 1,972.01 and 437.07 is: 655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.61 : 1,972.01 = 437.07 : x
  2. Step 2: Convert to fraction form
    1,314.61/1,972.01 = 437.07/x
  3. Step 3: Cross multiply
    1,314.61x = 1,972.01 × 437.07
  4. Step 4: Simplify right side
    1,314.61x = 861,906.41
  5. Step 5: Solve for x
    x = 861,906.41/1,314.61
  6. Step 6: Final answer
    x = 655.64

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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.