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Finding the Fourth Proportional to 529.68, 729.36 and 459.66

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Solution

The fourth proportional to 529.68, 729.36 and 459.66 is: 632.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.68 : 729.36 = 459.66 : x
  2. Step 2: Convert to fraction form
    529.68/729.36 = 459.66/x
  3. Step 3: Cross multiply
    529.68x = 729.36 × 459.66
  4. Step 4: Simplify right side
    529.68x = 335,257.62
  5. Step 5: Solve for x
    x = 335,257.62/529.68
  6. Step 6: Final answer
    x = 632.94

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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.