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Finding the Fourth Proportional to 1,451.24, 2,176.22 and 477

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Solution

The fourth proportional to 1,451.24, 2,176.22 and 477 is: 715.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.24 : 2,176.22 = 477 : x
  2. Step 2: Convert to fraction form
    1,451.24/2,176.22 = 477/x
  3. Step 3: Cross multiply
    1,451.24x = 2,176.22 × 477
  4. Step 4: Simplify right side
    1,451.24x = 1,038,056.94
  5. Step 5: Solve for x
    x = 1,038,056.94/1,451.24
  6. Step 6: Final answer
    x = 715.29

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Double scale
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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.