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Finding the Fourth Proportional to 904.19, 1,247.90 and 656.33

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Solution

The fourth proportional to 904.19, 1,247.90 and 656.33 is: 905.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.19 : 1,247.90 = 656.33 : x
  2. Step 2: Convert to fraction form
    904.19/1,247.90 = 656.33/x
  3. Step 3: Cross multiply
    904.19x = 1,247.90 × 656.33
  4. Step 4: Simplify right side
    904.19x = 819,024.69
  5. Step 5: Solve for x
    x = 819,024.69/904.19
  6. Step 6: Final answer
    x = 905.82

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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.