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Finding the Fourth Proportional to 501.62, 751.34 and 413.98

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Solution

The fourth proportional to 501.62, 751.34 and 413.98 is: 620.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.62 : 751.34 = 413.98 : x
  2. Step 2: Convert to fraction form
    501.62/751.34 = 413.98/x
  3. Step 3: Cross multiply
    501.62x = 751.34 × 413.98
  4. Step 4: Simplify right side
    501.62x = 311,038.89
  5. Step 5: Solve for x
    x = 311,038.89/501.62
  6. Step 6: Final answer
    x = 620.07

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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.