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Finding the Fourth Proportional to 495.75, 742.94 and 430.61

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Solution

The fourth proportional to 495.75, 742.94 and 430.61 is: 645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.75 : 742.94 = 430.61 : x
  2. Step 2: Convert to fraction form
    495.75/742.94 = 430.61/x
  3. Step 3: Cross multiply
    495.75x = 742.94 × 430.61
  4. Step 4: Simplify right side
    495.75x = 319,911.53
  5. Step 5: Solve for x
    x = 319,911.53/495.75
  6. Step 6: Final answer
    x = 645.31

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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.