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Finding the Fourth Proportional to 688.89, 947.84 and 595.33

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Solution

The fourth proportional to 688.89, 947.84 and 595.33 is: 819.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.89 : 947.84 = 595.33 : x
  2. Step 2: Convert to fraction form
    688.89/947.84 = 595.33/x
  3. Step 3: Cross multiply
    688.89x = 947.84 × 595.33
  4. Step 4: Simplify right side
    688.89x = 564,277.59
  5. Step 5: Solve for x
    x = 564,277.59/688.89
  6. Step 6: Final answer
    x = 819.11

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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.