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Finding the Fourth Proportional to 772.66, 1,066.33 and 478.10

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Solution

The fourth proportional to 772.66, 1,066.33 and 478.10 is: 659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.66 : 1,066.33 = 478.10 : x
  2. Step 2: Convert to fraction form
    772.66/1,066.33 = 478.10/x
  3. Step 3: Cross multiply
    772.66x = 1,066.33 × 478.10
  4. Step 4: Simplify right side
    772.66x = 509,816.64
  5. Step 5: Solve for x
    x = 509,816.64/772.66
  6. Step 6: Final answer
    x = 659.82

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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.