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Finding the Fourth Proportional to 1,123.74, 1,684.46 and 430.22

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Solution

The fourth proportional to 1,123.74, 1,684.46 and 430.22 is: 644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.74 : 1,684.46 = 430.22 : x
  2. Step 2: Convert to fraction form
    1,123.74/1,684.46 = 430.22/x
  3. Step 3: Cross multiply
    1,123.74x = 1,684.46 × 430.22
  4. Step 4: Simplify right side
    1,123.74x = 724,688.38
  5. Step 5: Solve for x
    x = 724,688.38/1,123.74
  6. Step 6: Final answer
    x = 644.89

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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.