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Finding the Fourth Proportional to 763.78, 1,146.25 and 569.23

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Solution

The fourth proportional to 763.78, 1,146.25 and 569.23 is: 854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.78 : 1,146.25 = 569.23 : x
  2. Step 2: Convert to fraction form
    763.78/1,146.25 = 569.23/x
  3. Step 3: Cross multiply
    763.78x = 1,146.25 × 569.23
  4. Step 4: Simplify right side
    763.78x = 652,477.73
  5. Step 5: Solve for x
    x = 652,477.73/763.78
  6. Step 6: Final answer
    x = 854.28

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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.