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Finding the Fourth Proportional to 1,492.03, 2,237.88 and 381.45

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Solution

The fourth proportional to 1,492.03, 2,237.88 and 381.45 is: 572.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.03 : 2,237.88 = 381.45 : x
  2. Step 2: Convert to fraction form
    1,492.03/2,237.88 = 381.45/x
  3. Step 3: Cross multiply
    1,492.03x = 2,237.88 × 381.45
  4. Step 4: Simplify right side
    1,492.03x = 853,639.33
  5. Step 5: Solve for x
    x = 853,639.33/1,492.03
  6. Step 6: Final answer
    x = 572.13

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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.