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Finding the Fourth Proportional to 529.34, 800.28 and 529.34

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Solution

The fourth proportional to 529.34, 800.28 and 529.34 is: 800.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.34 : 800.28 = 529.34 : x
  2. Step 2: Convert to fraction form
    529.34/800.28 = 529.34/x
  3. Step 3: Cross multiply
    529.34x = 800.28 × 529.34
  4. Step 4: Simplify right side
    529.34x = 423,616.21
  5. Step 5: Solve for x
    x = 423,616.21/529.34
  6. Step 6: Final answer
    x = 800.28

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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.