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Finding the Fourth Proportional to 479.68, 661.62 and 314.02

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Solution

The fourth proportional to 479.68, 661.62 and 314.02 is: 433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.68 : 661.62 = 314.02 : x
  2. Step 2: Convert to fraction form
    479.68/661.62 = 314.02/x
  3. Step 3: Cross multiply
    479.68x = 661.62 × 314.02
  4. Step 4: Simplify right side
    479.68x = 207,761.91
  5. Step 5: Solve for x
    x = 207,761.91/479.68
  6. Step 6: Final answer
    x = 433.13

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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.