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Finding the Fourth Proportional to 504.67, 756.19 and 413.41

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Solution

The fourth proportional to 504.67, 756.19 and 413.41 is: 619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.67 : 756.19 = 413.41 : x
  2. Step 2: Convert to fraction form
    504.67/756.19 = 413.41/x
  3. Step 3: Cross multiply
    504.67x = 756.19 × 413.41
  4. Step 4: Simplify right side
    504.67x = 312,616.51
  5. Step 5: Solve for x
    x = 312,616.51/504.67
  6. Step 6: Final answer
    x = 619.45

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1.5x scale

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.