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Finding the Fourth Proportional to 904.87, 1,357.31 and 417.79

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Solution

The fourth proportional to 904.87, 1,357.31 and 417.79 is: 626.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.87 : 1,357.31 = 417.79 : x
  2. Step 2: Convert to fraction form
    904.87/1,357.31 = 417.79/x
  3. Step 3: Cross multiply
    904.87x = 1,357.31 × 417.79
  4. Step 4: Simplify right side
    904.87x = 567,070.54
  5. Step 5: Solve for x
    x = 567,070.54/904.87
  6. Step 6: Final answer
    x = 626.69

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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.