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Finding the Fourth Proportional to 600.98, 900.88 and 470.25

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Solution

The fourth proportional to 600.98, 900.88 and 470.25 is: 704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.98 : 900.88 = 470.25 : x
  2. Step 2: Convert to fraction form
    600.98/900.88 = 470.25/x
  3. Step 3: Cross multiply
    600.98x = 900.88 × 470.25
  4. Step 4: Simplify right side
    600.98x = 423,637.64
  5. Step 5: Solve for x
    x = 423,637.64/600.98
  6. Step 6: Final answer
    x = 704.92

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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.