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Finding the Fourth Proportional to 772.01, 1,065.54 and 473.33

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Solution

The fourth proportional to 772.01, 1,065.54 and 473.33 is: 653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.01 : 1,065.54 = 473.33 : x
  2. Step 2: Convert to fraction form
    772.01/1,065.54 = 473.33/x
  3. Step 3: Cross multiply
    772.01x = 1,065.54 × 473.33
  4. Step 4: Simplify right side
    772.01x = 504,346.72
  5. Step 5: Solve for x
    x = 504,346.72/772.01
  6. Step 6: Final answer
    x = 653.29

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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.