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Finding the Fourth Proportional to 648.18, 969.84 and 430.56

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Solution

The fourth proportional to 648.18, 969.84 and 430.56 is: 644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.18 : 969.84 = 430.56 : x
  2. Step 2: Convert to fraction form
    648.18/969.84 = 430.56/x
  3. Step 3: Cross multiply
    648.18x = 969.84 × 430.56
  4. Step 4: Simplify right side
    648.18x = 417,574.31
  5. Step 5: Solve for x
    x = 417,574.31/648.18
  6. Step 6: Final answer
    x = 644.23

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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.