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Finding the Fourth Proportional to 514.76, 765.58 and 501.79

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Solution

The fourth proportional to 514.76, 765.58 and 501.79 is: 746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.76 : 765.58 = 501.79 : x
  2. Step 2: Convert to fraction form
    514.76/765.58 = 501.79/x
  3. Step 3: Cross multiply
    514.76x = 765.58 × 501.79
  4. Step 4: Simplify right side
    514.76x = 384,160.39
  5. Step 5: Solve for x
    x = 384,160.39/514.76
  6. Step 6: Final answer
    x = 746.29

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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.