Home / 1,314.62-1,972.21-437.32

Finding the Fourth Proportional to 1,314.62, 1,972.21 and 437.32

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Solution

The fourth proportional to 1,314.62, 1,972.21 and 437.32 is: 656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.62 : 1,972.21 = 437.32 : x
  2. Step 2: Convert to fraction form
    1,314.62/1,972.21 = 437.32/x
  3. Step 3: Cross multiply
    1,314.62x = 1,972.21 × 437.32
  4. Step 4: Simplify right side
    1,314.62x = 862,486.88
  5. Step 5: Solve for x
    x = 862,486.88/1,314.62
  6. Step 6: Final answer
    x = 656.07

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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.