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Finding the Fourth Proportional to 557.40, 836.10 and 413.40

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Solution

The fourth proportional to 557.40, 836.10 and 413.40 is: 620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.40 : 836.10 = 413.40 : x
  2. Step 2: Convert to fraction form
    557.40/836.10 = 413.40/x
  3. Step 3: Cross multiply
    557.40x = 836.10 × 413.40
  4. Step 4: Simplify right side
    557.40x = 345,643.74
  5. Step 5: Solve for x
    x = 345,643.74/557.40
  6. Step 6: Final answer
    x = 620.10

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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.