Home / 1,266.05-1,897.85-400.16

Finding the Fourth Proportional to 1,266.05, 1,897.85 and 400.16

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Solution

The fourth proportional to 1,266.05, 1,897.85 and 400.16 is: 599.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.05 : 1,897.85 = 400.16 : x
  2. Step 2: Convert to fraction form
    1,266.05/1,897.85 = 400.16/x
  3. Step 3: Cross multiply
    1,266.05x = 1,897.85 × 400.16
  4. Step 4: Simplify right side
    1,266.05x = 759,432.17
  5. Step 5: Solve for x
    x = 759,432.17/1,266.05
  6. Step 6: Final answer
    x = 599.85

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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.