Home / 1,416.31-2,123.69-675.70

Finding the Fourth Proportional to 1,416.31, 2,123.69 and 675.70

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Solution

The fourth proportional to 1,416.31, 2,123.69 and 675.70 is: 1,013.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.31 : 2,123.69 = 675.70 : x
  2. Step 2: Convert to fraction form
    1,416.31/2,123.69 = 675.70/x
  3. Step 3: Cross multiply
    1,416.31x = 2,123.69 × 675.70
  4. Step 4: Simplify right side
    1,416.31x = 1,434,968.65
  5. Step 5: Solve for x
    x = 1,434,968.65/1,416.31
  6. Step 6: Final answer
    x = 1,013.18

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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.