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Finding the Fourth Proportional to 1,492.50, 2,238.78 and 626.82

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Solution

The fourth proportional to 1,492.50, 2,238.78 and 626.82 is: 940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.50 : 2,238.78 = 626.82 : x
  2. Step 2: Convert to fraction form
    1,492.50/2,238.78 = 626.82/x
  3. Step 3: Cross multiply
    1,492.50x = 2,238.78 × 626.82
  4. Step 4: Simplify right side
    1,492.50x = 1,403,312.08
  5. Step 5: Solve for x
    x = 1,403,312.08/1,492.50
  6. Step 6: Final answer
    x = 940.24

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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.