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Finding the Fourth Proportional to 873.51, 1,310.16 and 668.47

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Solution

The fourth proportional to 873.51, 1,310.16 and 668.47 is: 1,002.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.51 : 1,310.16 = 668.47 : x
  2. Step 2: Convert to fraction form
    873.51/1,310.16 = 668.47/x
  3. Step 3: Cross multiply
    873.51x = 1,310.16 × 668.47
  4. Step 4: Simplify right side
    873.51x = 875,802.66
  5. Step 5: Solve for x
    x = 875,802.66/873.51
  6. Step 6: Final answer
    x = 1,002.62

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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.