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Finding the Fourth Proportional to 477.47, 716.06 and 257.96

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Solution

The fourth proportional to 477.47, 716.06 and 257.96 is: 386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.47 : 716.06 = 257.96 : x
  2. Step 2: Convert to fraction form
    477.47/716.06 = 257.96/x
  3. Step 3: Cross multiply
    477.47x = 716.06 × 257.96
  4. Step 4: Simplify right side
    477.47x = 184,714.84
  5. Step 5: Solve for x
    x = 184,714.84/477.47
  6. Step 6: Final answer
    x = 386.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.