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Finding the Fourth Proportional to 973.46, 1,343.92 and 678.22

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Solution

The fourth proportional to 973.46, 1,343.92 and 678.22 is: 936.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.46 : 1,343.92 = 678.22 : x
  2. Step 2: Convert to fraction form
    973.46/1,343.92 = 678.22/x
  3. Step 3: Cross multiply
    973.46x = 1,343.92 × 678.22
  4. Step 4: Simplify right side
    973.46x = 911,473.42
  5. Step 5: Solve for x
    x = 911,473.42/973.46
  6. Step 6: Final answer
    x = 936.32

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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.