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Finding the Fourth Proportional to 501.76, 756.80 and 484.48

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Solution

The fourth proportional to 501.76, 756.80 and 484.48 is: 730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.76 : 756.80 = 484.48 : x
  2. Step 2: Convert to fraction form
    501.76/756.80 = 484.48/x
  3. Step 3: Cross multiply
    501.76x = 756.80 × 484.48
  4. Step 4: Simplify right side
    501.76x = 366,654.46
  5. Step 5: Solve for x
    x = 366,654.46/501.76
  6. Step 6: Final answer
    x = 730.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.