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Finding the Fourth Proportional to 649.36, 972.86 and 356.54

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Solution

The fourth proportional to 649.36, 972.86 and 356.54 is: 534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.36 : 972.86 = 356.54 : x
  2. Step 2: Convert to fraction form
    649.36/972.86 = 356.54/x
  3. Step 3: Cross multiply
    649.36x = 972.86 × 356.54
  4. Step 4: Simplify right side
    649.36x = 346,863.50
  5. Step 5: Solve for x
    x = 346,863.50/649.36
  6. Step 6: Final answer
    x = 534.17

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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.