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Finding the Fourth Proportional to 609.98, 918.53 and 533.84

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Solution

The fourth proportional to 609.98, 918.53 and 533.84 is: 803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.98 : 918.53 = 533.84 : x
  2. Step 2: Convert to fraction form
    609.98/918.53 = 533.84/x
  3. Step 3: Cross multiply
    609.98x = 918.53 × 533.84
  4. Step 4: Simplify right side
    609.98x = 490,340.79
  5. Step 5: Solve for x
    x = 490,340.79/609.98
  6. Step 6: Final answer
    x = 803.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.