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Finding the Fourth Proportional to 763.04, 1,140.09 and 564.54

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Solution

The fourth proportional to 763.04, 1,140.09 and 564.54 is: 843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.04 : 1,140.09 = 564.54 : x
  2. Step 2: Convert to fraction form
    763.04/1,140.09 = 564.54/x
  3. Step 3: Cross multiply
    763.04x = 1,140.09 × 564.54
  4. Step 4: Simplify right side
    763.04x = 643,626.41
  5. Step 5: Solve for x
    x = 643,626.41/763.04
  6. Step 6: Final answer
    x = 843.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.