Home / 1,314.90-1,972.35-341.08

Finding the Fourth Proportional to 1,314.90, 1,972.35 and 341.08

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Solution

The fourth proportional to 1,314.90, 1,972.35 and 341.08 is: 511.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.90 : 1,972.35 = 341.08 : x
  2. Step 2: Convert to fraction form
    1,314.90/1,972.35 = 341.08/x
  3. Step 3: Cross multiply
    1,314.90x = 1,972.35 × 341.08
  4. Step 4: Simplify right side
    1,314.90x = 672,724.21
  5. Step 5: Solve for x
    x = 672,724.21/1,314.90
  6. Step 6: Final answer
    x = 511.62

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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.