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Finding the Fourth Proportional to 577.66, 866.67 and 193.18

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Solution

The fourth proportional to 577.66, 866.67 and 193.18 is: 289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.66 : 866.67 = 193.18 : x
  2. Step 2: Convert to fraction form
    577.66/866.67 = 193.18/x
  3. Step 3: Cross multiply
    577.66x = 866.67 × 193.18
  4. Step 4: Simplify right side
    577.66x = 167,423.31
  5. Step 5: Solve for x
    x = 167,423.31/577.66
  6. Step 6: Final answer
    x = 289.83

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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.