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Finding the Fourth Proportional to 529.02, 734.45 and 513.18

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Solution

The fourth proportional to 529.02, 734.45 and 513.18 is: 712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.02 : 734.45 = 513.18 : x
  2. Step 2: Convert to fraction form
    529.02/734.45 = 513.18/x
  3. Step 3: Cross multiply
    529.02x = 734.45 × 513.18
  4. Step 4: Simplify right side
    529.02x = 376,902.49
  5. Step 5: Solve for x
    x = 376,902.49/529.02
  6. Step 6: Final answer
    x = 712.45

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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.