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Finding the Fourth Proportional to 485.57, 729.21 and 459.62

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Solution

The fourth proportional to 485.57, 729.21 and 459.62 is: 690.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.57 : 729.21 = 459.62 : x
  2. Step 2: Convert to fraction form
    485.57/729.21 = 459.62/x
  3. Step 3: Cross multiply
    485.57x = 729.21 × 459.62
  4. Step 4: Simplify right side
    485.57x = 335,158.59
  5. Step 5: Solve for x
    x = 335,158.59/485.57
  6. Step 6: Final answer
    x = 690.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.