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Finding the Fourth Proportional to 1,492.48, 2,058.88 and 940.80

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Solution

The fourth proportional to 1,492.48, 2,058.88 and 940.80 is: 1,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.48 : 2,058.88 = 940.80 : x
  2. Step 2: Convert to fraction form
    1,492.48/2,058.88 = 940.80/x
  3. Step 3: Cross multiply
    1,492.48x = 2,058.88 × 940.80
  4. Step 4: Simplify right side
    1,492.48x = 1,936,994.30
  5. Step 5: Solve for x
    x = 1,936,994.30/1,492.48
  6. Step 6: Final answer
    x = 1,297.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.