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Finding the Fourth Proportional to 513.76, 706.48 and 498.40

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Solution

The fourth proportional to 513.76, 706.48 and 498.40 is: 685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.76 : 706.48 = 498.40 : x
  2. Step 2: Convert to fraction form
    513.76/706.48 = 498.40/x
  3. Step 3: Cross multiply
    513.76x = 706.48 × 498.40
  4. Step 4: Simplify right side
    513.76x = 352,109.63
  5. Step 5: Solve for x
    x = 352,109.63/513.76
  6. Step 6: Final answer
    x = 685.36

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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.