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Finding the Fourth Proportional to 812.02, 1,118.73 and 637.06

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Solution

The fourth proportional to 812.02, 1,118.73 and 637.06 is: 877.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.02 : 1,118.73 = 637.06 : x
  2. Step 2: Convert to fraction form
    812.02/1,118.73 = 637.06/x
  3. Step 3: Cross multiply
    812.02x = 1,118.73 × 637.06
  4. Step 4: Simplify right side
    812.02x = 712,698.13
  5. Step 5: Solve for x
    x = 712,698.13/812.02
  6. Step 6: Final answer
    x = 877.69

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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.