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Finding the Fourth Proportional to 498.06, 746.28 and 389.52

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Solution

The fourth proportional to 498.06, 746.28 and 389.52 is: 583.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.06 : 746.28 = 389.52 : x
  2. Step 2: Convert to fraction form
    498.06/746.28 = 389.52/x
  3. Step 3: Cross multiply
    498.06x = 746.28 × 389.52
  4. Step 4: Simplify right side
    498.06x = 290,690.99
  5. Step 5: Solve for x
    x = 290,690.99/498.06
  6. Step 6: Final answer
    x = 583.65

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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.