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Finding the Fourth Proportional to 649.32, 896.16 and 400.77

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Solution

The fourth proportional to 649.32, 896.16 and 400.77 is: 553.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.32 : 896.16 = 400.77 : x
  2. Step 2: Convert to fraction form
    649.32/896.16 = 400.77/x
  3. Step 3: Cross multiply
    649.32x = 896.16 × 400.77
  4. Step 4: Simplify right side
    649.32x = 359,154.04
  5. Step 5: Solve for x
    x = 359,154.04/649.32
  6. Step 6: Final answer
    x = 553.12

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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.