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Finding the Fourth Proportional to 878.41, 1,214.87 and 784.99

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Solution

The fourth proportional to 878.41, 1,214.87 and 784.99 is: 1,085.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.41 : 1,214.87 = 784.99 : x
  2. Step 2: Convert to fraction form
    878.41/1,214.87 = 784.99/x
  3. Step 3: Cross multiply
    878.41x = 1,214.87 × 784.99
  4. Step 4: Simplify right side
    878.41x = 953,658.39
  5. Step 5: Solve for x
    x = 953,658.39/878.41
  6. Step 6: Final answer
    x = 1,085.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.