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Finding the Fourth Proportional to 485.95, 729.02 and 409.63

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Solution

The fourth proportional to 485.95, 729.02 and 409.63 is: 614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.95 : 729.02 = 409.63 : x
  2. Step 2: Convert to fraction form
    485.95/729.02 = 409.63/x
  3. Step 3: Cross multiply
    485.95x = 729.02 × 409.63
  4. Step 4: Simplify right side
    485.95x = 298,626.41
  5. Step 5: Solve for x
    x = 298,626.41/485.95
  6. Step 6: Final answer
    x = 614.52

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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.