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Finding the Fourth Proportional to 1,314.78, 1,972.40 and 437.40

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Solution

The fourth proportional to 1,314.78, 1,972.40 and 437.40 is: 656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.78 : 1,972.40 = 437.40 : x
  2. Step 2: Convert to fraction form
    1,314.78/1,972.40 = 437.40/x
  3. Step 3: Cross multiply
    1,314.78x = 1,972.40 × 437.40
  4. Step 4: Simplify right side
    1,314.78x = 862,728.03
  5. Step 5: Solve for x
    x = 862,728.03/1,314.78
  6. Step 6: Final answer
    x = 656.18

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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.