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Finding the Fourth Proportional to 904.87, 1,350.47 and 817.39

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Solution

The fourth proportional to 904.87, 1,350.47 and 817.39 is: 1,219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.87 : 1,350.47 = 817.39 : x
  2. Step 2: Convert to fraction form
    904.87/1,350.47 = 817.39/x
  3. Step 3: Cross multiply
    904.87x = 1,350.47 × 817.39
  4. Step 4: Simplify right side
    904.87x = 1,103,864.40
  5. Step 5: Solve for x
    x = 1,103,864.40/904.87
  6. Step 6: Final answer
    x = 1,219.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.