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Finding the Fourth Proportional to 1,239.23, 1,858.93 and 417.50

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Solution

The fourth proportional to 1,239.23, 1,858.93 and 417.50 is: 626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.23 : 1,858.93 = 417.50 : x
  2. Step 2: Convert to fraction form
    1,239.23/1,858.93 = 417.50/x
  3. Step 3: Cross multiply
    1,239.23x = 1,858.93 × 417.50
  4. Step 4: Simplify right side
    1,239.23x = 776,103.28
  5. Step 5: Solve for x
    x = 776,103.28/1,239.23
  6. Step 6: Final answer
    x = 626.28

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1.5x scale

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.