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Finding the Fourth Proportional to 477.69, 659.53 and 298.51

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Solution

The fourth proportional to 477.69, 659.53 and 298.51 is: 412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.69 : 659.53 = 298.51 : x
  2. Step 2: Convert to fraction form
    477.69/659.53 = 298.51/x
  3. Step 3: Cross multiply
    477.69x = 659.53 × 298.51
  4. Step 4: Simplify right side
    477.69x = 196,874.18
  5. Step 5: Solve for x
    x = 196,874.18/477.69
  6. Step 6: Final answer
    x = 412.14

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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.