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Finding the Fourth Proportional to 649.17, 971.60 and 568.98

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Solution

The fourth proportional to 649.17, 971.60 and 568.98 is: 851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.17 : 971.60 = 568.98 : x
  2. Step 2: Convert to fraction form
    649.17/971.60 = 568.98/x
  3. Step 3: Cross multiply
    649.17x = 971.60 × 568.98
  4. Step 4: Simplify right side
    649.17x = 552,818.12
  5. Step 5: Solve for x
    x = 552,818.12/649.17
  6. Step 6: Final answer
    x = 851.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.