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Finding the Fourth Proportional to 480.70, 718.80 and 413.02

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Solution

The fourth proportional to 480.70, 718.80 and 413.02 is: 617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.70 : 718.80 = 413.02 : x
  2. Step 2: Convert to fraction form
    480.70/718.80 = 413.02/x
  3. Step 3: Cross multiply
    480.70x = 718.80 × 413.02
  4. Step 4: Simplify right side
    480.70x = 296,878.78
  5. Step 5: Solve for x
    x = 296,878.78/480.70
  6. Step 6: Final answer
    x = 617.60

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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.