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Finding the Fourth Proportional to 487.86, 672.86 and 346

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Solution

The fourth proportional to 487.86, 672.86 and 346 is: 477.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.86 : 672.86 = 346 : x
  2. Step 2: Convert to fraction form
    487.86/672.86 = 346/x
  3. Step 3: Cross multiply
    487.86x = 672.86 × 346
  4. Step 4: Simplify right side
    487.86x = 232,809.56
  5. Step 5: Solve for x
    x = 232,809.56/487.86
  6. Step 6: Final answer
    x = 477.21

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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.