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Finding the Fourth Proportional to 1,192.57, 1,788.40 and 498.88

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Solution

The fourth proportional to 1,192.57, 1,788.40 and 498.88 is: 748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.57 : 1,788.40 = 498.88 : x
  2. Step 2: Convert to fraction form
    1,192.57/1,788.40 = 498.88/x
  3. Step 3: Cross multiply
    1,192.57x = 1,788.40 × 498.88
  4. Step 4: Simplify right side
    1,192.57x = 892,196.99
  5. Step 5: Solve for x
    x = 892,196.99/1,192.57
  6. Step 6: Final answer
    x = 748.13

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1.5x scale

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.