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Finding the Fourth Proportional to 711.39, 1,065.54 and 345.41

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Solution

The fourth proportional to 711.39, 1,065.54 and 345.41 is: 517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.39 : 1,065.54 = 345.41 : x
  2. Step 2: Convert to fraction form
    711.39/1,065.54 = 345.41/x
  3. Step 3: Cross multiply
    711.39x = 1,065.54 × 345.41
  4. Step 4: Simplify right side
    711.39x = 368,048.17
  5. Step 5: Solve for x
    x = 368,048.17/711.39
  6. Step 6: Final answer
    x = 517.36

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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.