Home / 1,250.10-1,875.30-428.14

Finding the Fourth Proportional to 1,250.10, 1,875.30 and 428.14

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Solution

The fourth proportional to 1,250.10, 1,875.30 and 428.14 is: 642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.10 : 1,875.30 = 428.14 : x
  2. Step 2: Convert to fraction form
    1,250.10/1,875.30 = 428.14/x
  3. Step 3: Cross multiply
    1,250.10x = 1,875.30 × 428.14
  4. Step 4: Simplify right side
    1,250.10x = 802,890.94
  5. Step 5: Solve for x
    x = 802,890.94/1,250.10
  6. Step 6: Final answer
    x = 642.26

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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.