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Finding the Fourth Proportional to 1,493.17, 2,239.58 and 397.51

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Solution

The fourth proportional to 1,493.17, 2,239.58 and 397.51 is: 596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.17 : 2,239.58 = 397.51 : x
  2. Step 2: Convert to fraction form
    1,493.17/2,239.58 = 397.51/x
  3. Step 3: Cross multiply
    1,493.17x = 2,239.58 × 397.51
  4. Step 4: Simplify right side
    1,493.17x = 890,250.84
  5. Step 5: Solve for x
    x = 890,250.84/1,493.17
  6. Step 6: Final answer
    x = 596.22

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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.