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Finding the Fourth Proportional to 1,492, 2,237.64 and 451.72

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Solution

The fourth proportional to 1,492, 2,237.64 and 451.72 is: 677.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492 : 2,237.64 = 451.72 : x
  2. Step 2: Convert to fraction form
    1,492/2,237.64 = 451.72/x
  3. Step 3: Cross multiply
    1,492x = 2,237.64 × 451.72
  4. Step 4: Simplify right side
    1,492x = 1,010,786.74
  5. Step 5: Solve for x
    x = 1,010,786.74/1,492
  6. Step 6: Final answer
    x = 677.47

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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.