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Finding the Fourth Proportional to 480.53, 719.85 and 428.93

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Solution

The fourth proportional to 480.53, 719.85 and 428.93 is: 642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.53 : 719.85 = 428.93 : x
  2. Step 2: Convert to fraction form
    480.53/719.85 = 428.93/x
  3. Step 3: Cross multiply
    480.53x = 719.85 × 428.93
  4. Step 4: Simplify right side
    480.53x = 308,761.66
  5. Step 5: Solve for x
    x = 308,761.66/480.53
  6. Step 6: Final answer
    x = 642.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.