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Finding the Fourth Proportional to 563.80, 845.72 and 468.76

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Solution

The fourth proportional to 563.80, 845.72 and 468.76 is: 703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.80 : 845.72 = 468.76 : x
  2. Step 2: Convert to fraction form
    563.80/845.72 = 468.76/x
  3. Step 3: Cross multiply
    563.80x = 845.72 × 468.76
  4. Step 4: Simplify right side
    563.80x = 396,439.71
  5. Step 5: Solve for x
    x = 396,439.71/563.80
  6. Step 6: Final answer
    x = 703.16

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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.