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Finding the Fourth Proportional to 478.59, 659.95 and 354.49

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Solution

The fourth proportional to 478.59, 659.95 and 354.49 is: 488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.59 : 659.95 = 354.49 : x
  2. Step 2: Convert to fraction form
    478.59/659.95 = 354.49/x
  3. Step 3: Cross multiply
    478.59x = 659.95 × 354.49
  4. Step 4: Simplify right side
    478.59x = 233,943.14
  5. Step 5: Solve for x
    x = 233,943.14/478.59
  6. Step 6: Final answer
    x = 488.82

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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.