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Finding the Fourth Proportional to 565.20, 774.98 and 509.72

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Solution

The fourth proportional to 565.20, 774.98 and 509.72 is: 698.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.20 : 774.98 = 509.72 : x
  2. Step 2: Convert to fraction form
    565.20/774.98 = 509.72/x
  3. Step 3: Cross multiply
    565.20x = 774.98 × 509.72
  4. Step 4: Simplify right side
    565.20x = 395,022.81
  5. Step 5: Solve for x
    x = 395,022.81/565.20
  6. Step 6: Final answer
    x = 698.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.