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Finding the Fourth Proportional to 919.04, 1,378.72 and 406.08

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Solution

The fourth proportional to 919.04, 1,378.72 and 406.08 is: 609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.04 : 1,378.72 = 406.08 : x
  2. Step 2: Convert to fraction form
    919.04/1,378.72 = 406.08/x
  3. Step 3: Cross multiply
    919.04x = 1,378.72 × 406.08
  4. Step 4: Simplify right side
    919.04x = 559,870.62
  5. Step 5: Solve for x
    x = 559,870.62/919.04
  6. Step 6: Final answer
    x = 609.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.