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Finding the Fourth Proportional to 1,238.74, 1,858.40 and 417.00

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Solution

The fourth proportional to 1,238.74, 1,858.40 and 417.00 is: 625.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.74 : 1,858.40 = 417.00 : x
  2. Step 2: Convert to fraction form
    1,238.74/1,858.40 = 417.00/x
  3. Step 3: Cross multiply
    1,238.74x = 1,858.40 × 417.00
  4. Step 4: Simplify right side
    1,238.74x = 774,946.09
  5. Step 5: Solve for x
    x = 774,946.09/1,238.74
  6. Step 6: Final answer
    x = 625.59

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Half scale
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Double scale
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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.