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Finding the Fourth Proportional to 1,069.30, 1,604.86 and 420.49

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Solution

The fourth proportional to 1,069.30, 1,604.86 and 420.49 is: 631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.30 : 1,604.86 = 420.49 : x
  2. Step 2: Convert to fraction form
    1,069.30/1,604.86 = 420.49/x
  3. Step 3: Cross multiply
    1,069.30x = 1,604.86 × 420.49
  4. Step 4: Simplify right side
    1,069.30x = 674,830.90
  5. Step 5: Solve for x
    x = 674,830.90/1,069.30
  6. Step 6: Final answer
    x = 631.10

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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.