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Finding the Fourth Proportional to 878.32, 1,317.71 and 513.36

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Solution

The fourth proportional to 878.32, 1,317.71 and 513.36 is: 770.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.32 : 1,317.71 = 513.36 : x
  2. Step 2: Convert to fraction form
    878.32/1,317.71 = 513.36/x
  3. Step 3: Cross multiply
    878.32x = 1,317.71 × 513.36
  4. Step 4: Simplify right side
    878.32x = 676,457.04
  5. Step 5: Solve for x
    x = 676,457.04/878.32
  6. Step 6: Final answer
    x = 770.17

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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.