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Finding the Fourth Proportional to 904.24, 1,360.46 and 539.29

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Solution

The fourth proportional to 904.24, 1,360.46 and 539.29 is: 811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.24 : 1,360.46 = 539.29 : x
  2. Step 2: Convert to fraction form
    904.24/1,360.46 = 539.29/x
  3. Step 3: Cross multiply
    904.24x = 1,360.46 × 539.29
  4. Step 4: Simplify right side
    904.24x = 733,682.47
  5. Step 5: Solve for x
    x = 733,682.47/904.24
  6. Step 6: Final answer
    x = 811.38

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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.