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Finding the Fourth Proportional to 1,492.28, 2,238.70 and 568.10

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Solution

The fourth proportional to 1,492.28, 2,238.70 and 568.10 is: 852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.28 : 2,238.70 = 568.10 : x
  2. Step 2: Convert to fraction form
    1,492.28/2,238.70 = 568.10/x
  3. Step 3: Cross multiply
    1,492.28x = 2,238.70 × 568.10
  4. Step 4: Simplify right side
    1,492.28x = 1,271,805.47
  5. Step 5: Solve for x
    x = 1,271,805.47/1,492.28
  6. Step 6: Final answer
    x = 852.26

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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.