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Finding the Fourth Proportional to 487.23, 671.87 and 345.57

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Solution

The fourth proportional to 487.23, 671.87 and 345.57 is: 476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.23 : 671.87 = 345.57 : x
  2. Step 2: Convert to fraction form
    487.23/671.87 = 345.57/x
  3. Step 3: Cross multiply
    487.23x = 671.87 × 345.57
  4. Step 4: Simplify right side
    487.23x = 232,176.39
  5. Step 5: Solve for x
    x = 232,176.39/487.23
  6. Step 6: Final answer
    x = 476.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.