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Finding the Fourth Proportional to 771.01, 1,064.39 and 535.36

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Solution

The fourth proportional to 771.01, 1,064.39 and 535.36 is: 739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.01 : 1,064.39 = 535.36 : x
  2. Step 2: Convert to fraction form
    771.01/1,064.39 = 535.36/x
  3. Step 3: Cross multiply
    771.01x = 1,064.39 × 535.36
  4. Step 4: Simplify right side
    771.01x = 569,831.83
  5. Step 5: Solve for x
    x = 569,831.83/771.01
  6. Step 6: Final answer
    x = 739.07

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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.