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Finding the Fourth Proportional to 506.16, 701.49 and 498.48

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Solution

The fourth proportional to 506.16, 701.49 and 498.48 is: 690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.16 : 701.49 = 498.48 : x
  2. Step 2: Convert to fraction form
    506.16/701.49 = 498.48/x
  3. Step 3: Cross multiply
    506.16x = 701.49 × 498.48
  4. Step 4: Simplify right side
    506.16x = 349,678.74
  5. Step 5: Solve for x
    x = 349,678.74/506.16
  6. Step 6: Final answer
    x = 690.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.