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Finding the Fourth Proportional to 1,123.76, 1,685.18 and 465.74

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Solution

The fourth proportional to 1,123.76, 1,685.18 and 465.74 is: 698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.76 : 1,685.18 = 465.74 : x
  2. Step 2: Convert to fraction form
    1,123.76/1,685.18 = 465.74/x
  3. Step 3: Cross multiply
    1,123.76x = 1,685.18 × 465.74
  4. Step 4: Simplify right side
    1,123.76x = 784,844.98
  5. Step 5: Solve for x
    x = 784,844.98/1,123.76
  6. Step 6: Final answer
    x = 698.41

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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.