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Finding the Fourth Proportional to 902.99, 1,353.85 and 463.39

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Solution

The fourth proportional to 902.99, 1,353.85 and 463.39 is: 694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.99 : 1,353.85 = 463.39 : x
  2. Step 2: Convert to fraction form
    902.99/1,353.85 = 463.39/x
  3. Step 3: Cross multiply
    902.99x = 1,353.85 × 463.39
  4. Step 4: Simplify right side
    902.99x = 627,356.01
  5. Step 5: Solve for x
    x = 627,356.01/902.99
  6. Step 6: Final answer
    x = 694.75

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1.5x scale

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.