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Finding the Fourth Proportional to 878.16, 1,316.64 and 330.24

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Solution

The fourth proportional to 878.16, 1,316.64 and 330.24 is: 495.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.16 : 1,316.64 = 330.24 : x
  2. Step 2: Convert to fraction form
    878.16/1,316.64 = 330.24/x
  3. Step 3: Cross multiply
    878.16x = 1,316.64 × 330.24
  4. Step 4: Simplify right side
    878.16x = 434,807.19
  5. Step 5: Solve for x
    x = 434,807.19/878.16
  6. Step 6: Final answer
    x = 495.13

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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.