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Finding the Fourth Proportional to 480.69, 666.25 and 472.86

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Solution

The fourth proportional to 480.69, 666.25 and 472.86 is: 655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.69 : 666.25 = 472.86 : x
  2. Step 2: Convert to fraction form
    480.69/666.25 = 472.86/x
  3. Step 3: Cross multiply
    480.69x = 666.25 × 472.86
  4. Step 4: Simplify right side
    480.69x = 315,041.79
  5. Step 5: Solve for x
    x = 315,041.79/480.69
  6. Step 6: Final answer
    x = 655.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.