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Finding the Fourth Proportional to 810.99, 1,119.32 and 646.49

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Solution

The fourth proportional to 810.99, 1,119.32 and 646.49 is: 892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.99 : 1,119.32 = 646.49 : x
  2. Step 2: Convert to fraction form
    810.99/1,119.32 = 646.49/x
  3. Step 3: Cross multiply
    810.99x = 1,119.32 × 646.49
  4. Step 4: Simplify right side
    810.99x = 723,631.18
  5. Step 5: Solve for x
    x = 723,631.18/810.99
  6. Step 6: Final answer
    x = 892.28

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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.