Home / 1,156.20-1,733.58-498.49

Finding the Fourth Proportional to 1,156.20, 1,733.58 and 498.49

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Solution

The fourth proportional to 1,156.20, 1,733.58 and 498.49 is: 747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.20 : 1,733.58 = 498.49 : x
  2. Step 2: Convert to fraction form
    1,156.20/1,733.58 = 498.49/x
  3. Step 3: Cross multiply
    1,156.20x = 1,733.58 × 498.49
  4. Step 4: Simplify right side
    1,156.20x = 864,172.29
  5. Step 5: Solve for x
    x = 864,172.29/1,156.20
  6. Step 6: Final answer
    x = 747.42

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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.