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Finding the Fourth Proportional to 810.49, 1,119.99 and 663.07

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Solution

The fourth proportional to 810.49, 1,119.99 and 663.07 is: 916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.49 : 1,119.99 = 663.07 : x
  2. Step 2: Convert to fraction form
    810.49/1,119.99 = 663.07/x
  3. Step 3: Cross multiply
    810.49x = 1,119.99 × 663.07
  4. Step 4: Simplify right side
    810.49x = 742,631.77
  5. Step 5: Solve for x
    x = 742,631.77/810.49
  6. Step 6: Final answer
    x = 916.28

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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.