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Finding the Fourth Proportional to 642.54, 958.47 and 569.64

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Solution

The fourth proportional to 642.54, 958.47 and 569.64 is: 849.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.54 : 958.47 = 569.64 : x
  2. Step 2: Convert to fraction form
    642.54/958.47 = 569.64/x
  3. Step 3: Cross multiply
    642.54x = 958.47 × 569.64
  4. Step 4: Simplify right side
    642.54x = 545,982.85
  5. Step 5: Solve for x
    x = 545,982.85/642.54
  6. Step 6: Final answer
    x = 849.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.