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Finding the Fourth Proportional to 1,267.77, 1,901.85 and 402

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Solution

The fourth proportional to 1,267.77, 1,901.85 and 402 is: 603.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.77 : 1,901.85 = 402 : x
  2. Step 2: Convert to fraction form
    1,267.77/1,901.85 = 402/x
  3. Step 3: Cross multiply
    1,267.77x = 1,901.85 × 402
  4. Step 4: Simplify right side
    1,267.77x = 764,543.70
  5. Step 5: Solve for x
    x = 764,543.70/1,267.77
  6. Step 6: Final answer
    x = 603.06

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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.