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Finding the Fourth Proportional to 627.48, 866.03 and 430.83

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Solution

The fourth proportional to 627.48, 866.03 and 430.83 is: 594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.48 : 866.03 = 430.83 : x
  2. Step 2: Convert to fraction form
    627.48/866.03 = 430.83/x
  3. Step 3: Cross multiply
    627.48x = 866.03 × 430.83
  4. Step 4: Simplify right side
    627.48x = 373,109.55
  5. Step 5: Solve for x
    x = 373,109.55/627.48
  6. Step 6: Final answer
    x = 594.62

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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.