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Finding the Fourth Proportional to 506.43, 753.48 and 480.51

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Solution

The fourth proportional to 506.43, 753.48 and 480.51 is: 714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.43 : 753.48 = 480.51 : x
  2. Step 2: Convert to fraction form
    506.43/753.48 = 480.51/x
  3. Step 3: Cross multiply
    506.43x = 753.48 × 480.51
  4. Step 4: Simplify right side
    506.43x = 362,054.67
  5. Step 5: Solve for x
    x = 362,054.67/506.43
  6. Step 6: Final answer
    x = 714.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.