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Finding the Fourth Proportional to 477.19, 715.99 and 257.56

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Solution

The fourth proportional to 477.19, 715.99 and 257.56 is: 386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.19 : 715.99 = 257.56 : x
  2. Step 2: Convert to fraction form
    477.19/715.99 = 257.56/x
  3. Step 3: Cross multiply
    477.19x = 715.99 × 257.56
  4. Step 4: Simplify right side
    477.19x = 184,407.95
  5. Step 5: Solve for x
    x = 184,407.95/477.19
  6. Step 6: Final answer
    x = 386.45

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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.