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Finding the Fourth Proportional to 643.24, 969.91 and 597.16

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Solution

The fourth proportional to 643.24, 969.91 and 597.16 is: 900.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.24 : 969.91 = 597.16 : x
  2. Step 2: Convert to fraction form
    643.24/969.91 = 597.16/x
  3. Step 3: Cross multiply
    643.24x = 969.91 × 597.16
  4. Step 4: Simplify right side
    643.24x = 579,191.46
  5. Step 5: Solve for x
    x = 579,191.46/643.24
  6. Step 6: Final answer
    x = 900.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.