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Finding the Fourth Proportional to 487.72, 670.51 and 484.80

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Solution

The fourth proportional to 487.72, 670.51 and 484.80 is: 666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.72 : 670.51 = 484.80 : x
  2. Step 2: Convert to fraction form
    487.72/670.51 = 484.80/x
  3. Step 3: Cross multiply
    487.72x = 670.51 × 484.80
  4. Step 4: Simplify right side
    487.72x = 325,063.25
  5. Step 5: Solve for x
    x = 325,063.25/487.72
  6. Step 6: Final answer
    x = 666.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.