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Finding the Fourth Proportional to 643.80, 889.08 and 597

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Solution

The fourth proportional to 643.80, 889.08 and 597 is: 824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.80 : 889.08 = 597 : x
  2. Step 2: Convert to fraction form
    643.80/889.08 = 597/x
  3. Step 3: Cross multiply
    643.80x = 889.08 × 597
  4. Step 4: Simplify right side
    643.80x = 530,780.76
  5. Step 5: Solve for x
    x = 530,780.76/643.80
  6. Step 6: Final answer
    x = 824.45

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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.