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Finding the Fourth Proportional to 669.15, 922.34 and 529.02

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Solution

The fourth proportional to 669.15, 922.34 and 529.02 is: 729.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.15 : 922.34 = 529.02 : x
  2. Step 2: Convert to fraction form
    669.15/922.34 = 529.02/x
  3. Step 3: Cross multiply
    669.15x = 922.34 × 529.02
  4. Step 4: Simplify right side
    669.15x = 487,933.66
  5. Step 5: Solve for x
    x = 487,933.66/669.15
  6. Step 6: Final answer
    x = 729.18

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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.