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Finding the Fourth Proportional to 711.67, 1,066.95 and 454.63

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Solution

The fourth proportional to 711.67, 1,066.95 and 454.63 is: 681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.67 : 1,066.95 = 454.63 : x
  2. Step 2: Convert to fraction form
    711.67/1,066.95 = 454.63/x
  3. Step 3: Cross multiply
    711.67x = 1,066.95 × 454.63
  4. Step 4: Simplify right side
    711.67x = 485,067.48
  5. Step 5: Solve for x
    x = 485,067.48/711.67
  6. Step 6: Final answer
    x = 681.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.