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Finding the Fourth Proportional to 772.88, 1,066.10 and 477.86

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Solution

The fourth proportional to 772.88, 1,066.10 and 477.86 is: 659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.88 : 1,066.10 = 477.86 : x
  2. Step 2: Convert to fraction form
    772.88/1,066.10 = 477.86/x
  3. Step 3: Cross multiply
    772.88x = 1,066.10 × 477.86
  4. Step 4: Simplify right side
    772.88x = 509,438.83
  5. Step 5: Solve for x
    x = 509,438.83/772.88
  6. Step 6: Final answer
    x = 659.15

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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.