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Finding the Fourth Proportional to 514.36, 707.70 and 413.88

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Solution

The fourth proportional to 514.36, 707.70 and 413.88 is: 569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.36 : 707.70 = 413.88 : x
  2. Step 2: Convert to fraction form
    514.36/707.70 = 413.88/x
  3. Step 3: Cross multiply
    514.36x = 707.70 × 413.88
  4. Step 4: Simplify right side
    514.36x = 292,902.88
  5. Step 5: Solve for x
    x = 292,902.88/514.36
  6. Step 6: Final answer
    x = 569.45

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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.