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Finding the Fourth Proportional to 478.24, 712.28 and 453.28

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Solution

The fourth proportional to 478.24, 712.28 and 453.28 is: 675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.24 : 712.28 = 453.28 : x
  2. Step 2: Convert to fraction form
    478.24/712.28 = 453.28/x
  3. Step 3: Cross multiply
    478.24x = 712.28 × 453.28
  4. Step 4: Simplify right side
    478.24x = 322,862.28
  5. Step 5: Solve for x
    x = 322,862.28/478.24
  6. Step 6: Final answer
    x = 675.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.