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Finding the Fourth Proportional to 904.36, 1,247.22 and 593.80

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Solution

The fourth proportional to 904.36, 1,247.22 and 593.80 is: 818.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.36 : 1,247.22 = 593.80 : x
  2. Step 2: Convert to fraction form
    904.36/1,247.22 = 593.80/x
  3. Step 3: Cross multiply
    904.36x = 1,247.22 × 593.80
  4. Step 4: Simplify right side
    904.36x = 740,599.24
  5. Step 5: Solve for x
    x = 740,599.24/904.36
  6. Step 6: Final answer
    x = 818.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.