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Finding the Fourth Proportional to 563.50, 839.57 and 532.06

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Solution

The fourth proportional to 563.50, 839.57 and 532.06 is: 792.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.50 : 839.57 = 532.06 : x
  2. Step 2: Convert to fraction form
    563.50/839.57 = 532.06/x
  3. Step 3: Cross multiply
    563.50x = 839.57 × 532.06
  4. Step 4: Simplify right side
    563.50x = 446,697.42
  5. Step 5: Solve for x
    x = 446,697.42/563.50
  6. Step 6: Final answer
    x = 792.73

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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.