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Finding the Fourth Proportional to 810.27, 1,119.02 and 562.01

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Solution

The fourth proportional to 810.27, 1,119.02 and 562.01 is: 776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.27 : 1,119.02 = 562.01 : x
  2. Step 2: Convert to fraction form
    810.27/1,119.02 = 562.01/x
  3. Step 3: Cross multiply
    810.27x = 1,119.02 × 562.01
  4. Step 4: Simplify right side
    810.27x = 628,892.03
  5. Step 5: Solve for x
    x = 628,892.03/810.27
  6. Step 6: Final answer
    x = 776.15

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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.