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Finding the Fourth Proportional to 651.43, 898.95 and 356.69

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Solution

The fourth proportional to 651.43, 898.95 and 356.69 is: 492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.43 : 898.95 = 356.69 : x
  2. Step 2: Convert to fraction form
    651.43/898.95 = 356.69/x
  3. Step 3: Cross multiply
    651.43x = 898.95 × 356.69
  4. Step 4: Simplify right side
    651.43x = 320,646.48
  5. Step 5: Solve for x
    x = 320,646.48/651.43
  6. Step 6: Final answer
    x = 492.22

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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.