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Finding the Fourth Proportional to 772.14, 1,066.02 and 477.80

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Solution

The fourth proportional to 772.14, 1,066.02 and 477.80 is: 659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.14 : 1,066.02 = 477.80 : x
  2. Step 2: Convert to fraction form
    772.14/1,066.02 = 477.80/x
  3. Step 3: Cross multiply
    772.14x = 1,066.02 × 477.80
  4. Step 4: Simplify right side
    772.14x = 509,344.36
  5. Step 5: Solve for x
    x = 509,344.36/772.14
  6. Step 6: Final answer
    x = 659.65

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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.