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Finding the Fourth Proportional to 563.96, 841.86 and 487.42

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Solution

The fourth proportional to 563.96, 841.86 and 487.42 is: 727.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.96 : 841.86 = 487.42 : x
  2. Step 2: Convert to fraction form
    563.96/841.86 = 487.42/x
  3. Step 3: Cross multiply
    563.96x = 841.86 × 487.42
  4. Step 4: Simplify right side
    563.96x = 410,332.75
  5. Step 5: Solve for x
    x = 410,332.75/563.96
  6. Step 6: Final answer
    x = 727.59

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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.