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Finding the Fourth Proportional to 648.54, 972.81 and 340.20

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Solution

The fourth proportional to 648.54, 972.81 and 340.20 is: 510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.54 : 972.81 = 340.20 : x
  2. Step 2: Convert to fraction form
    648.54/972.81 = 340.20/x
  3. Step 3: Cross multiply
    648.54x = 972.81 × 340.20
  4. Step 4: Simplify right side
    648.54x = 330,949.96
  5. Step 5: Solve for x
    x = 330,949.96/648.54
  6. Step 6: Final answer
    x = 510.30

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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.