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Finding the Fourth Proportional to 1,325.49, 1,987.74 and 447.77

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Solution

The fourth proportional to 1,325.49, 1,987.74 and 447.77 is: 671.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.49 : 1,987.74 = 447.77 : x
  2. Step 2: Convert to fraction form
    1,325.49/1,987.74 = 447.77/x
  3. Step 3: Cross multiply
    1,325.49x = 1,987.74 × 447.77
  4. Step 4: Simplify right side
    1,325.49x = 890,040.40
  5. Step 5: Solve for x
    x = 890,040.40/1,325.49
  6. Step 6: Final answer
    x = 671.48

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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.