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Finding the Fourth Proportional to 1,354.79, 2,031.21 and 477.11

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Solution

The fourth proportional to 1,354.79, 2,031.21 and 477.11 is: 715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.79 : 2,031.21 = 477.11 : x
  2. Step 2: Convert to fraction form
    1,354.79/2,031.21 = 477.11/x
  3. Step 3: Cross multiply
    1,354.79x = 2,031.21 × 477.11
  4. Step 4: Simplify right side
    1,354.79x = 969,100.45
  5. Step 5: Solve for x
    x = 969,100.45/1,354.79
  6. Step 6: Final answer
    x = 715.32

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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.