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Finding the Fourth Proportional to 577.32, 800.50 and 556.80

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Solution

The fourth proportional to 577.32, 800.50 and 556.80 is: 772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.32 : 800.50 = 556.80 : x
  2. Step 2: Convert to fraction form
    577.32/800.50 = 556.80/x
  3. Step 3: Cross multiply
    577.32x = 800.50 × 556.80
  4. Step 4: Simplify right side
    577.32x = 445,718.40
  5. Step 5: Solve for x
    x = 445,718.40/577.32
  6. Step 6: Final answer
    x = 772.05

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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.