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Finding the Fourth Proportional to 904.48, 1,355.37 and 812.68

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Solution

The fourth proportional to 904.48, 1,355.37 and 812.68 is: 1,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.48 : 1,355.37 = 812.68 : x
  2. Step 2: Convert to fraction form
    904.48/1,355.37 = 812.68/x
  3. Step 3: Cross multiply
    904.48x = 1,355.37 × 812.68
  4. Step 4: Simplify right side
    904.48x = 1,101,482.09
  5. Step 5: Solve for x
    x = 1,101,482.09/904.48
  6. Step 6: Final answer
    x = 1,217.81

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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.