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Finding the Fourth Proportional to 876.04, 1,313.64 and 413.68

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Solution

The fourth proportional to 876.04, 1,313.64 and 413.68 is: 620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.04 : 1,313.64 = 413.68 : x
  2. Step 2: Convert to fraction form
    876.04/1,313.64 = 413.68/x
  3. Step 3: Cross multiply
    876.04x = 1,313.64 × 413.68
  4. Step 4: Simplify right side
    876.04x = 543,426.60
  5. Step 5: Solve for x
    x = 543,426.60/876.04
  6. Step 6: Final answer
    x = 620.32

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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.