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Finding the Fourth Proportional to 529.76, 729.44 and 450.92

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Solution

The fourth proportional to 529.76, 729.44 and 450.92 is: 620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.76 : 729.44 = 450.92 : x
  2. Step 2: Convert to fraction form
    529.76/729.44 = 450.92/x
  3. Step 3: Cross multiply
    529.76x = 729.44 × 450.92
  4. Step 4: Simplify right side
    529.76x = 328,919.08
  5. Step 5: Solve for x
    x = 328,919.08/529.76
  6. Step 6: Final answer
    x = 620.88

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1.5x scale

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.