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Finding the Fourth Proportional to 477.17, 715.55 and 271.83

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Solution

The fourth proportional to 477.17, 715.55 and 271.83 is: 407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.17 : 715.55 = 271.83 : x
  2. Step 2: Convert to fraction form
    477.17/715.55 = 271.83/x
  3. Step 3: Cross multiply
    477.17x = 715.55 × 271.83
  4. Step 4: Simplify right side
    477.17x = 194,506.60
  5. Step 5: Solve for x
    x = 194,506.60/477.17
  6. Step 6: Final answer
    x = 407.63

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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.