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Finding the Fourth Proportional to 1,123.03, 1,680.45 and 661.03

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Solution

The fourth proportional to 1,123.03, 1,680.45 and 661.03 is: 989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.03 : 1,680.45 = 661.03 : x
  2. Step 2: Convert to fraction form
    1,123.03/1,680.45 = 661.03/x
  3. Step 3: Cross multiply
    1,123.03x = 1,680.45 × 661.03
  4. Step 4: Simplify right side
    1,123.03x = 1,110,827.86
  5. Step 5: Solve for x
    x = 1,110,827.86/1,123.03
  6. Step 6: Final answer
    x = 989.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.