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Finding the Fourth Proportional to 904.29, 1,353 and 552.99

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Solution

The fourth proportional to 904.29, 1,353 and 552.99 is: 827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.29 : 1,353 = 552.99 : x
  2. Step 2: Convert to fraction form
    904.29/1,353 = 552.99/x
  3. Step 3: Cross multiply
    904.29x = 1,353 × 552.99
  4. Step 4: Simplify right side
    904.29x = 748,195.47
  5. Step 5: Solve for x
    x = 748,195.47/904.29
  6. Step 6: Final answer
    x = 827.38

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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.