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Finding the Fourth Proportional to 771.50, 1,064.17 and 535.33

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Solution

The fourth proportional to 771.50, 1,064.17 and 535.33 is: 738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.50 : 1,064.17 = 535.33 : x
  2. Step 2: Convert to fraction form
    771.50/1,064.17 = 535.33/x
  3. Step 3: Cross multiply
    771.50x = 1,064.17 × 535.33
  4. Step 4: Simplify right side
    771.50x = 569,682.13
  5. Step 5: Solve for x
    x = 569,682.13/771.50
  6. Step 6: Final answer
    x = 738.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.