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Finding the Fourth Proportional to 904.54, 1,356.08 and 417.92

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Solution

The fourth proportional to 904.54, 1,356.08 and 417.92 is: 626.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.54 : 1,356.08 = 417.92 : x
  2. Step 2: Convert to fraction form
    904.54/1,356.08 = 417.92/x
  3. Step 3: Cross multiply
    904.54x = 1,356.08 × 417.92
  4. Step 4: Simplify right side
    904.54x = 566,732.95
  5. Step 5: Solve for x
    x = 566,732.95/904.54
  6. Step 6: Final answer
    x = 626.54

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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.