Home / 643.14-964.47-210.18

Finding the Fourth Proportional to 643.14, 964.47 and 210.18

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Solution

The fourth proportional to 643.14, 964.47 and 210.18 is: 315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.14 : 964.47 = 210.18 : x
  2. Step 2: Convert to fraction form
    643.14/964.47 = 210.18/x
  3. Step 3: Cross multiply
    643.14x = 964.47 × 210.18
  4. Step 4: Simplify right side
    643.14x = 202,712.30
  5. Step 5: Solve for x
    x = 202,712.30/643.14
  6. Step 6: Final answer
    x = 315.19

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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.