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Finding the Fourth Proportional to 654.24, 902.40 and 446.88

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Solution

The fourth proportional to 654.24, 902.40 and 446.88 is: 616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.24 : 902.40 = 446.88 : x
  2. Step 2: Convert to fraction form
    654.24/902.40 = 446.88/x
  3. Step 3: Cross multiply
    654.24x = 902.40 × 446.88
  4. Step 4: Simplify right side
    654.24x = 403,264.51
  5. Step 5: Solve for x
    x = 403,264.51/654.24
  6. Step 6: Final answer
    x = 616.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.