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Finding the Fourth Proportional to 649.34, 902.32 and 642.68

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Solution

The fourth proportional to 649.34, 902.32 and 642.68 is: 893.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.34 : 902.32 = 642.68 : x
  2. Step 2: Convert to fraction form
    649.34/902.32 = 642.68/x
  3. Step 3: Cross multiply
    649.34x = 902.32 × 642.68
  4. Step 4: Simplify right side
    649.34x = 579,903.02
  5. Step 5: Solve for x
    x = 579,903.02/649.34
  6. Step 6: Final answer
    x = 893.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.