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Finding the Fourth Proportional to 903.63, 1,355.66 and 464.70

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Solution

The fourth proportional to 903.63, 1,355.66 and 464.70 is: 697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.63 : 1,355.66 = 464.70 : x
  2. Step 2: Convert to fraction form
    903.63/1,355.66 = 464.70/x
  3. Step 3: Cross multiply
    903.63x = 1,355.66 × 464.70
  4. Step 4: Simplify right side
    903.63x = 629,975.20
  5. Step 5: Solve for x
    x = 629,975.20/903.63
  6. Step 6: Final answer
    x = 697.16

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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.