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Finding the Fourth Proportional to 605.15, 906.99 and 430.88

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Solution

The fourth proportional to 605.15, 906.99 and 430.88 is: 645.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.15 : 906.99 = 430.88 : x
  2. Step 2: Convert to fraction form
    605.15/906.99 = 430.88/x
  3. Step 3: Cross multiply
    605.15x = 906.99 × 430.88
  4. Step 4: Simplify right side
    605.15x = 390,798.24
  5. Step 5: Solve for x
    x = 390,798.24/605.15
  6. Step 6: Final answer
    x = 645.78

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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.