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Finding the Fourth Proportional to 1,239.48, 1,858.10 and 623.38

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Solution

The fourth proportional to 1,239.48, 1,858.10 and 623.38 is: 934.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.48 : 1,858.10 = 623.38 : x
  2. Step 2: Convert to fraction form
    1,239.48/1,858.10 = 623.38/x
  3. Step 3: Cross multiply
    1,239.48x = 1,858.10 × 623.38
  4. Step 4: Simplify right side
    1,239.48x = 1,158,302.38
  5. Step 5: Solve for x
    x = 1,158,302.38/1,239.48
  6. Step 6: Final answer
    x = 934.51

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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.