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Finding the Fourth Proportional to 773.18, 1,066.47 and 477.93

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Solution

The fourth proportional to 773.18, 1,066.47 and 477.93 is: 659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.18 : 1,066.47 = 477.93 : x
  2. Step 2: Convert to fraction form
    773.18/1,066.47 = 477.93/x
  3. Step 3: Cross multiply
    773.18x = 1,066.47 × 477.93
  4. Step 4: Simplify right side
    773.18x = 509,700.21
  5. Step 5: Solve for x
    x = 509,700.21/773.18
  6. Step 6: Final answer
    x = 659.23

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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.