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Finding the Fourth Proportional to 651.80, 898.88 and 577.22

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Solution

The fourth proportional to 651.80, 898.88 and 577.22 is: 796.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.80 : 898.88 = 577.22 : x
  2. Step 2: Convert to fraction form
    651.80/898.88 = 577.22/x
  3. Step 3: Cross multiply
    651.80x = 898.88 × 577.22
  4. Step 4: Simplify right side
    651.80x = 518,844.13
  5. Step 5: Solve for x
    x = 518,844.13/651.80
  6. Step 6: Final answer
    x = 796.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.