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Finding the Fourth Proportional to 1,421.19, 2,131.04 and 496.49

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Solution

The fourth proportional to 1,421.19, 2,131.04 and 496.49 is: 744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.19 : 2,131.04 = 496.49 : x
  2. Step 2: Convert to fraction form
    1,421.19/2,131.04 = 496.49/x
  3. Step 3: Cross multiply
    1,421.19x = 2,131.04 × 496.49
  4. Step 4: Simplify right side
    1,421.19x = 1,058,026.91
  5. Step 5: Solve for x
    x = 1,058,026.91/1,421.19
  6. Step 6: Final answer
    x = 744.47

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Double scale
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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.