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Finding the Fourth Proportional to 815.14, 1,123.00 and 666.91

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Solution

The fourth proportional to 815.14, 1,123.00 and 666.91 is: 918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.14 : 1,123.00 = 666.91 : x
  2. Step 2: Convert to fraction form
    815.14/1,123.00 = 666.91/x
  3. Step 3: Cross multiply
    815.14x = 1,123.00 × 666.91
  4. Step 4: Simplify right side
    815.14x = 748,941.07
  5. Step 5: Solve for x
    x = 748,941.07/815.14
  6. Step 6: Final answer
    x = 918.79

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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.