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Finding the Fourth Proportional to 545.01, 751.32 and 413.79

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Solution

The fourth proportional to 545.01, 751.32 and 413.79 is: 570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.01 : 751.32 = 413.79 : x
  2. Step 2: Convert to fraction form
    545.01/751.32 = 413.79/x
  3. Step 3: Cross multiply
    545.01x = 751.32 × 413.79
  4. Step 4: Simplify right side
    545.01x = 310,888.70
  5. Step 5: Solve for x
    x = 310,888.70/545.01
  6. Step 6: Final answer
    x = 570.43

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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.