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Finding the Fourth Proportional to 480.21, 715.23 and 477.89

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Solution

The fourth proportional to 480.21, 715.23 and 477.89 is: 711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.21 : 715.23 = 477.89 : x
  2. Step 2: Convert to fraction form
    480.21/715.23 = 477.89/x
  3. Step 3: Cross multiply
    480.21x = 715.23 × 477.89
  4. Step 4: Simplify right side
    480.21x = 341,797.69
  5. Step 5: Solve for x
    x = 341,797.69/480.21
  6. Step 6: Final answer
    x = 711.77

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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.