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Finding the Fourth Proportional to 1,259.90, 1,890.06 and 438.41

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Solution

The fourth proportional to 1,259.90, 1,890.06 and 438.41 is: 657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.90 : 1,890.06 = 438.41 : x
  2. Step 2: Convert to fraction form
    1,259.90/1,890.06 = 438.41/x
  3. Step 3: Cross multiply
    1,259.90x = 1,890.06 × 438.41
  4. Step 4: Simplify right side
    1,259.90x = 828,617.20
  5. Step 5: Solve for x
    x = 828,617.20/1,259.90
  6. Step 6: Final answer
    x = 657.68

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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.