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Finding the Fourth Proportional to 563.92, 842.34 and 435.92

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Solution

The fourth proportional to 563.92, 842.34 and 435.92 is: 651.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.92 : 842.34 = 435.92 : x
  2. Step 2: Convert to fraction form
    563.92/842.34 = 435.92/x
  3. Step 3: Cross multiply
    563.92x = 842.34 × 435.92
  4. Step 4: Simplify right side
    563.92x = 367,192.85
  5. Step 5: Solve for x
    x = 367,192.85/563.92
  6. Step 6: Final answer
    x = 651.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.