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Finding the Fourth Proportional to 481.04, 718.32 and 478.16

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Solution

The fourth proportional to 481.04, 718.32 and 478.16 is: 714.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.04 : 718.32 = 478.16 : x
  2. Step 2: Convert to fraction form
    481.04/718.32 = 478.16/x
  3. Step 3: Cross multiply
    481.04x = 718.32 × 478.16
  4. Step 4: Simplify right side
    481.04x = 343,471.89
  5. Step 5: Solve for x
    x = 343,471.89/481.04
  6. Step 6: Final answer
    x = 714.02

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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.