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Finding the Fourth Proportional to 1,069.75, 1,605.35 and 385.75

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Solution

The fourth proportional to 1,069.75, 1,605.35 and 385.75 is: 578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.75 : 1,605.35 = 385.75 : x
  2. Step 2: Convert to fraction form
    1,069.75/1,605.35 = 385.75/x
  3. Step 3: Cross multiply
    1,069.75x = 1,605.35 × 385.75
  4. Step 4: Simplify right side
    1,069.75x = 619,263.76
  5. Step 5: Solve for x
    x = 619,263.76/1,069.75
  6. Step 6: Final answer
    x = 578.89

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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.