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Finding the Fourth Proportional to 878.99, 1,316.60 and 416.07

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Solution

The fourth proportional to 878.99, 1,316.60 and 416.07 is: 623.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.99 : 1,316.60 = 416.07 : x
  2. Step 2: Convert to fraction form
    878.99/1,316.60 = 416.07/x
  3. Step 3: Cross multiply
    878.99x = 1,316.60 × 416.07
  4. Step 4: Simplify right side
    878.99x = 547,795.68
  5. Step 5: Solve for x
    x = 547,795.68/878.99
  6. Step 6: Final answer
    x = 623.21

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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.