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Finding the Fourth Proportional to 810.41, 1,118.63 and 562.06

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Solution

The fourth proportional to 810.41, 1,118.63 and 562.06 is: 775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.41 : 1,118.63 = 562.06 : x
  2. Step 2: Convert to fraction form
    810.41/1,118.63 = 562.06/x
  3. Step 3: Cross multiply
    810.41x = 1,118.63 × 562.06
  4. Step 4: Simplify right side
    810.41x = 628,735.79
  5. Step 5: Solve for x
    x = 628,735.79/810.41
  6. Step 6: Final answer
    x = 775.83

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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.