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Finding the Fourth Proportional to 973.42, 1,342.11 and 786.22

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Solution

The fourth proportional to 973.42, 1,342.11 and 786.22 is: 1,084.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.42 : 1,342.11 = 786.22 : x
  2. Step 2: Convert to fraction form
    973.42/1,342.11 = 786.22/x
  3. Step 3: Cross multiply
    973.42x = 1,342.11 × 786.22
  4. Step 4: Simplify right side
    973.42x = 1,055,193.72
  5. Step 5: Solve for x
    x = 1,055,193.72/973.42
  6. Step 6: Final answer
    x = 1,084.01

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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.