Home / 1,314.84-1,972.23-340.95

Finding the Fourth Proportional to 1,314.84, 1,972.23 and 340.95

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Solution

The fourth proportional to 1,314.84, 1,972.23 and 340.95 is: 511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.84 : 1,972.23 = 340.95 : x
  2. Step 2: Convert to fraction form
    1,314.84/1,972.23 = 340.95/x
  3. Step 3: Cross multiply
    1,314.84x = 1,972.23 × 340.95
  4. Step 4: Simplify right side
    1,314.84x = 672,431.82
  5. Step 5: Solve for x
    x = 672,431.82/1,314.84
  6. Step 6: Final answer
    x = 511.42

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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.