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Finding the Fourth Proportional to 670.90, 1,007.07 and 479.38

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Solution

The fourth proportional to 670.90, 1,007.07 and 479.38 is: 719.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.90 : 1,007.07 = 479.38 : x
  2. Step 2: Convert to fraction form
    670.90/1,007.07 = 479.38/x
  3. Step 3: Cross multiply
    670.90x = 1,007.07 × 479.38
  4. Step 4: Simplify right side
    670.90x = 482,769.22
  5. Step 5: Solve for x
    x = 482,769.22/670.90
  6. Step 6: Final answer
    x = 719.58

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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.