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Finding the Fourth Proportional to 598.34, 897.78 and 406.28

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Solution

The fourth proportional to 598.34, 897.78 and 406.28 is: 609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.34 : 897.78 = 406.28 : x
  2. Step 2: Convert to fraction form
    598.34/897.78 = 406.28/x
  3. Step 3: Cross multiply
    598.34x = 897.78 × 406.28
  4. Step 4: Simplify right side
    598.34x = 364,750.06
  5. Step 5: Solve for x
    x = 364,750.06/598.34
  6. Step 6: Final answer
    x = 609.60

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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.