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Finding the Fourth Proportional to 711.99, 1,066.37 and 567.81

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Solution

The fourth proportional to 711.99, 1,066.37 and 567.81 is: 850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.99 : 1,066.37 = 567.81 : x
  2. Step 2: Convert to fraction form
    711.99/1,066.37 = 567.81/x
  3. Step 3: Cross multiply
    711.99x = 1,066.37 × 567.81
  4. Step 4: Simplify right side
    711.99x = 605,492.71
  5. Step 5: Solve for x
    x = 605,492.71/711.99
  6. Step 6: Final answer
    x = 850.42

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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.