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Finding the Fourth Proportional to 577.40, 800.16 and 566.44

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Solution

The fourth proportional to 577.40, 800.16 and 566.44 is: 784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.40 : 800.16 = 566.44 : x
  2. Step 2: Convert to fraction form
    577.40/800.16 = 566.44/x
  3. Step 3: Cross multiply
    577.40x = 800.16 × 566.44
  4. Step 4: Simplify right side
    577.40x = 453,242.63
  5. Step 5: Solve for x
    x = 453,242.63/577.40
  6. Step 6: Final answer
    x = 784.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.