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Finding the Fourth Proportional to 1,123.23, 1,682.58 and 538.80

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Solution

The fourth proportional to 1,123.23, 1,682.58 and 538.80 is: 807.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.23 : 1,682.58 = 538.80 : x
  2. Step 2: Convert to fraction form
    1,123.23/1,682.58 = 538.80/x
  3. Step 3: Cross multiply
    1,123.23x = 1,682.58 × 538.80
  4. Step 4: Simplify right side
    1,123.23x = 906,574.10
  5. Step 5: Solve for x
    x = 906,574.10/1,123.23
  6. Step 6: Final answer
    x = 807.11

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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.