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Finding the Fourth Proportional to 565.20, 846.20 and 549.20

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Solution

The fourth proportional to 565.20, 846.20 and 549.20 is: 822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.20 : 846.20 = 549.20 : x
  2. Step 2: Convert to fraction form
    565.20/846.20 = 549.20/x
  3. Step 3: Cross multiply
    565.20x = 846.20 × 549.20
  4. Step 4: Simplify right side
    565.20x = 464,733.04
  5. Step 5: Solve for x
    x = 464,733.04/565.20
  6. Step 6: Final answer
    x = 822.25

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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.