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Finding the Fourth Proportional to 529.34, 729.41 and 435.78

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Solution

The fourth proportional to 529.34, 729.41 and 435.78 is: 600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.34 : 729.41 = 435.78 : x
  2. Step 2: Convert to fraction form
    529.34/729.41 = 435.78/x
  3. Step 3: Cross multiply
    529.34x = 729.41 × 435.78
  4. Step 4: Simplify right side
    529.34x = 317,860.11
  5. Step 5: Solve for x
    x = 317,860.11/529.34
  6. Step 6: Final answer
    x = 600.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.