Home / 1,263.85-1,895.82-442.06

Finding the Fourth Proportional to 1,263.85, 1,895.82 and 442.06

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Solution

The fourth proportional to 1,263.85, 1,895.82 and 442.06 is: 663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.85 : 1,895.82 = 442.06 : x
  2. Step 2: Convert to fraction form
    1,263.85/1,895.82 = 442.06/x
  3. Step 3: Cross multiply
    1,263.85x = 1,895.82 × 442.06
  4. Step 4: Simplify right side
    1,263.85x = 838,066.19
  5. Step 5: Solve for x
    x = 838,066.19/1,263.85
  6. Step 6: Final answer
    x = 663.11

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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.