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Finding the Fourth Proportional to 563.51, 842.19 and 519.74

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Solution

The fourth proportional to 563.51, 842.19 and 519.74 is: 776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.51 : 842.19 = 519.74 : x
  2. Step 2: Convert to fraction form
    563.51/842.19 = 519.74/x
  3. Step 3: Cross multiply
    563.51x = 842.19 × 519.74
  4. Step 4: Simplify right side
    563.51x = 437,719.83
  5. Step 5: Solve for x
    x = 437,719.83/563.51
  6. Step 6: Final answer
    x = 776.77

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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.