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Finding the Fourth Proportional to 812.50, 1,119.93 and 635.15

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Solution

The fourth proportional to 812.50, 1,119.93 and 635.15 is: 875.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.50 : 1,119.93 = 635.15 : x
  2. Step 2: Convert to fraction form
    812.50/1,119.93 = 635.15/x
  3. Step 3: Cross multiply
    812.50x = 1,119.93 × 635.15
  4. Step 4: Simplify right side
    812.50x = 711,317.94
  5. Step 5: Solve for x
    x = 711,317.94/812.50
  6. Step 6: Final answer
    x = 875.47

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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.