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Finding the Fourth Proportional to 487.90, 673.54 and 382.80

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Solution

The fourth proportional to 487.90, 673.54 and 382.80 is: 528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.90 : 673.54 = 382.80 : x
  2. Step 2: Convert to fraction form
    487.90/673.54 = 382.80/x
  3. Step 3: Cross multiply
    487.90x = 673.54 × 382.80
  4. Step 4: Simplify right side
    487.90x = 257,831.11
  5. Step 5: Solve for x
    x = 257,831.11/487.90
  6. Step 6: Final answer
    x = 528.45

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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.