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Finding the Fourth Proportional to 666.24, 1,001.25 and 392.37

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Solution

The fourth proportional to 666.24, 1,001.25 and 392.37 is: 589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.24 : 1,001.25 = 392.37 : x
  2. Step 2: Convert to fraction form
    666.24/1,001.25 = 392.37/x
  3. Step 3: Cross multiply
    666.24x = 1,001.25 × 392.37
  4. Step 4: Simplify right side
    666.24x = 392,860.46
  5. Step 5: Solve for x
    x = 392,860.46/666.24
  6. Step 6: Final answer
    x = 589.67

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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.