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Finding the Fourth Proportional to 904.45, 1,354.03 and 817.98

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Solution

The fourth proportional to 904.45, 1,354.03 and 817.98 is: 1,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.45 : 1,354.03 = 817.98 : x
  2. Step 2: Convert to fraction form
    904.45/1,354.03 = 817.98/x
  3. Step 3: Cross multiply
    904.45x = 1,354.03 × 817.98
  4. Step 4: Simplify right side
    904.45x = 1,107,569.46
  5. Step 5: Solve for x
    x = 1,107,569.46/904.45
  6. Step 6: Final answer
    x = 1,224.58

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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.