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Finding the Fourth Proportional to 485.61, 729.03 and 413.91

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Solution

The fourth proportional to 485.61, 729.03 and 413.91 is: 621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.61 : 729.03 = 413.91 : x
  2. Step 2: Convert to fraction form
    485.61/729.03 = 413.91/x
  3. Step 3: Cross multiply
    485.61x = 729.03 × 413.91
  4. Step 4: Simplify right side
    485.61x = 301,752.81
  5. Step 5: Solve for x
    x = 301,752.81/485.61
  6. Step 6: Final answer
    x = 621.39

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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.