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Finding the Fourth Proportional to 563.15, 837.20 and 524.27

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Solution

The fourth proportional to 563.15, 837.20 and 524.27 is: 779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.15 : 837.20 = 524.27 : x
  2. Step 2: Convert to fraction form
    563.15/837.20 = 524.27/x
  3. Step 3: Cross multiply
    563.15x = 837.20 × 524.27
  4. Step 4: Simplify right side
    563.15x = 438,914.00
  5. Step 5: Solve for x
    x = 438,914.00/563.15
  6. Step 6: Final answer
    x = 779.40

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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.