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Finding the Fourth Proportional to 577.90, 866.13 and 289.26

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Solution

The fourth proportional to 577.90, 866.13 and 289.26 is: 433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.90 : 866.13 = 289.26 : x
  2. Step 2: Convert to fraction form
    577.90/866.13 = 289.26/x
  3. Step 3: Cross multiply
    577.90x = 866.13 × 289.26
  4. Step 4: Simplify right side
    577.90x = 250,536.76
  5. Step 5: Solve for x
    x = 250,536.76/577.90
  6. Step 6: Final answer
    x = 433.53

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1.5x scale

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.