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Finding the Fourth Proportional to 903.39, 1,355.08 and 464.77

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Solution

The fourth proportional to 903.39, 1,355.08 and 464.77 is: 697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.39 : 1,355.08 = 464.77 : x
  2. Step 2: Convert to fraction form
    903.39/1,355.08 = 464.77/x
  3. Step 3: Cross multiply
    903.39x = 1,355.08 × 464.77
  4. Step 4: Simplify right side
    903.39x = 629,794.97
  5. Step 5: Solve for x
    x = 629,794.97/903.39
  6. Step 6: Final answer
    x = 697.14

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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.