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Finding the Fourth Proportional to 1,492.68, 2,239.07 and 712.77

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Solution

The fourth proportional to 1,492.68, 2,239.07 and 712.77 is: 1,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.68 : 2,239.07 = 712.77 : x
  2. Step 2: Convert to fraction form
    1,492.68/2,239.07 = 712.77/x
  3. Step 3: Cross multiply
    1,492.68x = 2,239.07 × 712.77
  4. Step 4: Simplify right side
    1,492.68x = 1,595,932.64
  5. Step 5: Solve for x
    x = 1,595,932.64/1,492.68
  6. Step 6: Final answer
    x = 1,069.17

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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.