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Finding the Fourth Proportional to 688.48, 947.67 and 601

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Solution

The fourth proportional to 688.48, 947.67 and 601 is: 827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.48 : 947.67 = 601 : x
  2. Step 2: Convert to fraction form
    688.48/947.67 = 601/x
  3. Step 3: Cross multiply
    688.48x = 947.67 × 601
  4. Step 4: Simplify right side
    688.48x = 569,549.67
  5. Step 5: Solve for x
    x = 569,549.67/688.48
  6. Step 6: Final answer
    x = 827.26

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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.