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Finding the Fourth Proportional to 565.20, 843.30 and 561.60

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Solution

The fourth proportional to 565.20, 843.30 and 561.60 is: 837.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.20 : 843.30 = 561.60 : x
  2. Step 2: Convert to fraction form
    565.20/843.30 = 561.60/x
  3. Step 3: Cross multiply
    565.20x = 843.30 × 561.60
  4. Step 4: Simplify right side
    565.20x = 473,597.28
  5. Step 5: Solve for x
    x = 473,597.28/565.20
  6. Step 6: Final answer
    x = 837.93

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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.