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Finding the Fourth Proportional to 480.72, 718.15 and 305.98

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Solution

The fourth proportional to 480.72, 718.15 and 305.98 is: 457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.72 : 718.15 = 305.98 : x
  2. Step 2: Convert to fraction form
    480.72/718.15 = 305.98/x
  3. Step 3: Cross multiply
    480.72x = 718.15 × 305.98
  4. Step 4: Simplify right side
    480.72x = 219,737.55
  5. Step 5: Solve for x
    x = 219,737.55/480.72
  6. Step 6: Final answer
    x = 457.10

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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.