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Finding the Fourth Proportional to 1,201.42, 1,656.98 and 848.54

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Solution

The fourth proportional to 1,201.42, 1,656.98 and 848.54 is: 1,170.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.42 : 1,656.98 = 848.54 : x
  2. Step 2: Convert to fraction form
    1,201.42/1,656.98 = 848.54/x
  3. Step 3: Cross multiply
    1,201.42x = 1,656.98 × 848.54
  4. Step 4: Simplify right side
    1,201.42x = 1,406,013.81
  5. Step 5: Solve for x
    x = 1,406,013.81/1,201.42
  6. Step 6: Final answer
    x = 1,170.29

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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.