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Finding the Fourth Proportional to 878.51, 1,317.76 and 494.03

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Solution

The fourth proportional to 878.51, 1,317.76 and 494.03 is: 741.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.51 : 1,317.76 = 494.03 : x
  2. Step 2: Convert to fraction form
    878.51/1,317.76 = 494.03/x
  3. Step 3: Cross multiply
    878.51x = 1,317.76 × 494.03
  4. Step 4: Simplify right side
    878.51x = 651,006.38
  5. Step 5: Solve for x
    x = 651,006.38/878.51
  6. Step 6: Final answer
    x = 741.04

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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.