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Finding the Fourth Proportional to 814.50, 1,123.20 and 666.68

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Solution

The fourth proportional to 814.50, 1,123.20 and 666.68 is: 919.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.50 : 1,123.20 = 666.68 : x
  2. Step 2: Convert to fraction form
    814.50/1,123.20 = 666.68/x
  3. Step 3: Cross multiply
    814.50x = 1,123.20 × 666.68
  4. Step 4: Simplify right side
    814.50x = 748,809.36
  5. Step 5: Solve for x
    x = 748,809.36/814.50
  6. Step 6: Final answer
    x = 919.35

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1.5x scale

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.