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Finding the Fourth Proportional to 711.90, 1,066.46 and 467.68

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Solution

The fourth proportional to 711.90, 1,066.46 and 467.68 is: 700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.90 : 1,066.46 = 467.68 : x
  2. Step 2: Convert to fraction form
    711.90/1,066.46 = 467.68/x
  3. Step 3: Cross multiply
    711.90x = 1,066.46 × 467.68
  4. Step 4: Simplify right side
    711.90x = 498,762.01
  5. Step 5: Solve for x
    x = 498,762.01/711.90
  6. Step 6: Final answer
    x = 700.61

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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.