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Finding the Fourth Proportional to 645.63, 891.03 and 424.63

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Solution

The fourth proportional to 645.63, 891.03 and 424.63 is: 586.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.63 : 891.03 = 424.63 : x
  2. Step 2: Convert to fraction form
    645.63/891.03 = 424.63/x
  3. Step 3: Cross multiply
    645.63x = 891.03 × 424.63
  4. Step 4: Simplify right side
    645.63x = 378,358.07
  5. Step 5: Solve for x
    x = 378,358.07/645.63
  6. Step 6: Final answer
    x = 586.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.