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Finding the Fourth Proportional to 710.71, 1,066.40 and 320.81

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Solution

The fourth proportional to 710.71, 1,066.40 and 320.81 is: 481.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.71 : 1,066.40 = 320.81 : x
  2. Step 2: Convert to fraction form
    710.71/1,066.40 = 320.81/x
  3. Step 3: Cross multiply
    710.71x = 1,066.40 × 320.81
  4. Step 4: Simplify right side
    710.71x = 342,110.18
  5. Step 5: Solve for x
    x = 342,110.18/710.71
  6. Step 6: Final answer
    x = 481.37

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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.