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Finding the Fourth Proportional to 650.54, 971.07 and 568.53

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Solution

The fourth proportional to 650.54, 971.07 and 568.53 is: 848.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.54 : 971.07 = 568.53 : x
  2. Step 2: Convert to fraction form
    650.54/971.07 = 568.53/x
  3. Step 3: Cross multiply
    650.54x = 971.07 × 568.53
  4. Step 4: Simplify right side
    650.54x = 552,082.43
  5. Step 5: Solve for x
    x = 552,082.43/650.54
  6. Step 6: Final answer
    x = 848.65

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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.