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Finding the Fourth Proportional to 498.61, 746.56 and 388.86

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Solution

The fourth proportional to 498.61, 746.56 and 388.86 is: 582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.61 : 746.56 = 388.86 : x
  2. Step 2: Convert to fraction form
    498.61/746.56 = 388.86/x
  3. Step 3: Cross multiply
    498.61x = 746.56 × 388.86
  4. Step 4: Simplify right side
    498.61x = 290,307.32
  5. Step 5: Solve for x
    x = 290,307.32/498.61
  6. Step 6: Final answer
    x = 582.23

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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.