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Finding the Fourth Proportional to 1,239.18, 1,858.65 and 417.34

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Solution

The fourth proportional to 1,239.18, 1,858.65 and 417.34 is: 625.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.18 : 1,858.65 = 417.34 : x
  2. Step 2: Convert to fraction form
    1,239.18/1,858.65 = 417.34/x
  3. Step 3: Cross multiply
    1,239.18x = 1,858.65 × 417.34
  4. Step 4: Simplify right side
    1,239.18x = 775,688.99
  5. Step 5: Solve for x
    x = 775,688.99/1,239.18
  6. Step 6: Final answer
    x = 625.97

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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.