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Finding the Fourth Proportional to 477.38, 715.62 and 257.77

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Solution

The fourth proportional to 477.38, 715.62 and 257.77 is: 386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.38 : 715.62 = 257.77 : x
  2. Step 2: Convert to fraction form
    477.38/715.62 = 257.77/x
  3. Step 3: Cross multiply
    477.38x = 715.62 × 257.77
  4. Step 4: Simplify right side
    477.38x = 184,465.37
  5. Step 5: Solve for x
    x = 184,465.37/477.38
  6. Step 6: Final answer
    x = 386.41

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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.