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Finding the Fourth Proportional to 878.24, 1,317.36 and 365.12

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Solution

The fourth proportional to 878.24, 1,317.36 and 365.12 is: 547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.24 : 1,317.36 = 365.12 : x
  2. Step 2: Convert to fraction form
    878.24/1,317.36 = 365.12/x
  3. Step 3: Cross multiply
    878.24x = 1,317.36 × 365.12
  4. Step 4: Simplify right side
    878.24x = 480,994.48
  5. Step 5: Solve for x
    x = 480,994.48/878.24
  6. Step 6: Final answer
    x = 547.68

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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.