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Finding the Fourth Proportional to 523.63, 784.70 and 413.45

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Solution

The fourth proportional to 523.63, 784.70 and 413.45 is: 619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.63 : 784.70 = 413.45 : x
  2. Step 2: Convert to fraction form
    523.63/784.70 = 413.45/x
  3. Step 3: Cross multiply
    523.63x = 784.70 × 413.45
  4. Step 4: Simplify right side
    523.63x = 324,437.71
  5. Step 5: Solve for x
    x = 324,437.71/523.63
  6. Step 6: Final answer
    x = 619.60

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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.