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Finding the Fourth Proportional to 483.60, 729.10 and 478.16

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Solution

The fourth proportional to 483.60, 729.10 and 478.16 is: 720.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.60 : 729.10 = 478.16 : x
  2. Step 2: Convert to fraction form
    483.60/729.10 = 478.16/x
  3. Step 3: Cross multiply
    483.60x = 729.10 × 478.16
  4. Step 4: Simplify right side
    483.60x = 348,626.46
  5. Step 5: Solve for x
    x = 348,626.46/483.60
  6. Step 6: Final answer
    x = 720.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.