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Finding the Fourth Proportional to 479.54, 661.64 and 313.76

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Solution

The fourth proportional to 479.54, 661.64 and 313.76 is: 432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.54 : 661.64 = 313.76 : x
  2. Step 2: Convert to fraction form
    479.54/661.64 = 313.76/x
  3. Step 3: Cross multiply
    479.54x = 661.64 × 313.76
  4. Step 4: Simplify right side
    479.54x = 207,596.17
  5. Step 5: Solve for x
    x = 207,596.17/479.54
  6. Step 6: Final answer
    x = 432.91

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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.