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Finding the Fourth Proportional to 1,069.94, 1,605.82 and 421.13

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Solution

The fourth proportional to 1,069.94, 1,605.82 and 421.13 is: 632.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.94 : 1,605.82 = 421.13 : x
  2. Step 2: Convert to fraction form
    1,069.94/1,605.82 = 421.13/x
  3. Step 3: Cross multiply
    1,069.94x = 1,605.82 × 421.13
  4. Step 4: Simplify right side
    1,069.94x = 676,258.98
  5. Step 5: Solve for x
    x = 676,258.98/1,069.94
  6. Step 6: Final answer
    x = 632.05

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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.