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Finding the Fourth Proportional to 649.51, 896.33 and 383.93

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Solution

The fourth proportional to 649.51, 896.33 and 383.93 is: 529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.51 : 896.33 = 383.93 : x
  2. Step 2: Convert to fraction form
    649.51/896.33 = 383.93/x
  3. Step 3: Cross multiply
    649.51x = 896.33 × 383.93
  4. Step 4: Simplify right side
    649.51x = 344,127.98
  5. Step 5: Solve for x
    x = 344,127.98/649.51
  6. Step 6: Final answer
    x = 529.83

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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.