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Finding the Fourth Proportional to 485.84, 670.68 and 355.52

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Solution

The fourth proportional to 485.84, 670.68 and 355.52 is: 490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.84 : 670.68 = 355.52 : x
  2. Step 2: Convert to fraction form
    485.84/670.68 = 355.52/x
  3. Step 3: Cross multiply
    485.84x = 670.68 × 355.52
  4. Step 4: Simplify right side
    485.84x = 238,440.15
  5. Step 5: Solve for x
    x = 238,440.15/485.84
  6. Step 6: Final answer
    x = 490.78

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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.