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Finding the Fourth Proportional to 529.93, 799.69 and 514.54

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Solution

The fourth proportional to 529.93, 799.69 and 514.54 is: 776.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.93 : 799.69 = 514.54 : x
  2. Step 2: Convert to fraction form
    529.93/799.69 = 514.54/x
  3. Step 3: Cross multiply
    529.93x = 799.69 × 514.54
  4. Step 4: Simplify right side
    529.93x = 411,472.49
  5. Step 5: Solve for x
    x = 411,472.49/529.93
  6. Step 6: Final answer
    x = 776.47

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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.