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Finding the Fourth Proportional to 577.89, 866.84 and 458.01

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Solution

The fourth proportional to 577.89, 866.84 and 458.01 is: 687.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.89 : 866.84 = 458.01 : x
  2. Step 2: Convert to fraction form
    577.89/866.84 = 458.01/x
  3. Step 3: Cross multiply
    577.89x = 866.84 × 458.01
  4. Step 4: Simplify right side
    577.89x = 397,019.10
  5. Step 5: Solve for x
    x = 397,019.10/577.89
  6. Step 6: Final answer
    x = 687.02

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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.