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Finding the Fourth Proportional to 711.45, 1,066.47 and 346.75

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Solution

The fourth proportional to 711.45, 1,066.47 and 346.75 is: 519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.45 : 1,066.47 = 346.75 : x
  2. Step 2: Convert to fraction form
    711.45/1,066.47 = 346.75/x
  3. Step 3: Cross multiply
    711.45x = 1,066.47 × 346.75
  4. Step 4: Simplify right side
    711.45x = 369,794.51
  5. Step 5: Solve for x
    x = 369,794.51/711.45
  6. Step 6: Final answer
    x = 519.78

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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.