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Finding the Fourth Proportional to 1,250.66, 1,875.80 and 417.74

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Solution

The fourth proportional to 1,250.66, 1,875.80 and 417.74 is: 626.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.66 : 1,875.80 = 417.74 : x
  2. Step 2: Convert to fraction form
    1,250.66/1,875.80 = 417.74/x
  3. Step 3: Cross multiply
    1,250.66x = 1,875.80 × 417.74
  4. Step 4: Simplify right side
    1,250.66x = 783,590.96
  5. Step 5: Solve for x
    x = 783,590.96/1,250.66
  6. Step 6: Final answer
    x = 626.54

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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.