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Finding the Fourth Proportional to 842.15, 1,161.47 and 707.03

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Solution

The fourth proportional to 842.15, 1,161.47 and 707.03 is: 975.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.15 : 1,161.47 = 707.03 : x
  2. Step 2: Convert to fraction form
    842.15/1,161.47 = 707.03/x
  3. Step 3: Cross multiply
    842.15x = 1,161.47 × 707.03
  4. Step 4: Simplify right side
    842.15x = 821,198.81
  5. Step 5: Solve for x
    x = 821,198.81/842.15
  6. Step 6: Final answer
    x = 975.13

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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.