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Finding the Fourth Proportional to 649.98, 897.08 and 388.16

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Solution

The fourth proportional to 649.98, 897.08 and 388.16 is: 535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.98 : 897.08 = 388.16 : x
  2. Step 2: Convert to fraction form
    649.98/897.08 = 388.16/x
  3. Step 3: Cross multiply
    649.98x = 897.08 × 388.16
  4. Step 4: Simplify right side
    649.98x = 348,204.15
  5. Step 5: Solve for x
    x = 348,204.15/649.98
  6. Step 6: Final answer
    x = 535.72

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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.