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Finding the Fourth Proportional to 846.36, 1,157.92 and 842.72

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Solution

The fourth proportional to 846.36, 1,157.92 and 842.72 is: 1,152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.36 : 1,157.92 = 842.72 : x
  2. Step 2: Convert to fraction form
    846.36/1,157.92 = 842.72/x
  3. Step 3: Cross multiply
    846.36x = 1,157.92 × 842.72
  4. Step 4: Simplify right side
    846.36x = 975,802.34
  5. Step 5: Solve for x
    x = 975,802.34/846.36
  6. Step 6: Final answer
    x = 1,152.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.