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Finding the Fourth Proportional to 678.62, 1,019.01 and 470.45

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Solution

The fourth proportional to 678.62, 1,019.01 and 470.45 is: 706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.62 : 1,019.01 = 470.45 : x
  2. Step 2: Convert to fraction form
    678.62/1,019.01 = 470.45/x
  3. Step 3: Cross multiply
    678.62x = 1,019.01 × 470.45
  4. Step 4: Simplify right side
    678.62x = 479,393.25
  5. Step 5: Solve for x
    x = 479,393.25/678.62
  6. Step 6: Final answer
    x = 706.42

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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.