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Finding the Fourth Proportional to 487.92, 673.47 and 369.66

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Solution

The fourth proportional to 487.92, 673.47 and 369.66 is: 510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.92 : 673.47 = 369.66 : x
  2. Step 2: Convert to fraction form
    487.92/673.47 = 369.66/x
  3. Step 3: Cross multiply
    487.92x = 673.47 × 369.66
  4. Step 4: Simplify right side
    487.92x = 248,954.92
  5. Step 5: Solve for x
    x = 248,954.92/487.92
  6. Step 6: Final answer
    x = 510.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.