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Finding the Fourth Proportional to 1,492.55, 2,238 and 626.66

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Solution

The fourth proportional to 1,492.55, 2,238 and 626.66 is: 939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.55 : 2,238 = 626.66 : x
  2. Step 2: Convert to fraction form
    1,492.55/2,238 = 626.66/x
  3. Step 3: Cross multiply
    1,492.55x = 2,238 × 626.66
  4. Step 4: Simplify right side
    1,492.55x = 1,402,453.89
  5. Step 5: Solve for x
    x = 1,402,453.89/1,492.55
  6. Step 6: Final answer
    x = 939.64

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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.