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Finding the Fourth Proportional to 774.78, 1,161.10 and 569.46

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Solution

The fourth proportional to 774.78, 1,161.10 and 569.46 is: 853.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.78 : 1,161.10 = 569.46 : x
  2. Step 2: Convert to fraction form
    774.78/1,161.10 = 569.46/x
  3. Step 3: Cross multiply
    774.78x = 1,161.10 × 569.46
  4. Step 4: Simplify right side
    774.78x = 661,200.01
  5. Step 5: Solve for x
    x = 661,200.01/774.78
  6. Step 6: Final answer
    x = 853.40

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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.