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Finding the Fourth Proportional to 904.29, 1,247.07 and 589.20

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Solution

The fourth proportional to 904.29, 1,247.07 and 589.20 is: 812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.29 : 1,247.07 = 589.20 : x
  2. Step 2: Convert to fraction form
    904.29/1,247.07 = 589.20/x
  3. Step 3: Cross multiply
    904.29x = 1,247.07 × 589.20
  4. Step 4: Simplify right side
    904.29x = 734,773.64
  5. Step 5: Solve for x
    x = 734,773.64/904.29
  6. Step 6: Final answer
    x = 812.54

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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.