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Finding the Fourth Proportional to 1,069.93, 1,604.85 and 420.63

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Solution

The fourth proportional to 1,069.93, 1,604.85 and 420.63 is: 630.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.93 : 1,604.85 = 420.63 : x
  2. Step 2: Convert to fraction form
    1,069.93/1,604.85 = 420.63/x
  3. Step 3: Cross multiply
    1,069.93x = 1,604.85 × 420.63
  4. Step 4: Simplify right side
    1,069.93x = 675,048.06
  5. Step 5: Solve for x
    x = 675,048.06/1,069.93
  6. Step 6: Final answer
    x = 630.93

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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.