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Finding the Fourth Proportional to 1,140.95, 1,709.79 and 564.23

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Solution

The fourth proportional to 1,140.95, 1,709.79 and 564.23 is: 845.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.95 : 1,709.79 = 564.23 : x
  2. Step 2: Convert to fraction form
    1,140.95/1,709.79 = 564.23/x
  3. Step 3: Cross multiply
    1,140.95x = 1,709.79 × 564.23
  4. Step 4: Simplify right side
    1,140.95x = 964,706.26
  5. Step 5: Solve for x
    x = 964,706.26/1,140.95
  6. Step 6: Final answer
    x = 845.53

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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.