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Finding the Fourth Proportional to 1,438.55, 1,985.32 and 848.97

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Solution

The fourth proportional to 1,438.55, 1,985.32 and 848.97 is: 1,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.55 : 1,985.32 = 848.97 : x
  2. Step 2: Convert to fraction form
    1,438.55/1,985.32 = 848.97/x
  3. Step 3: Cross multiply
    1,438.55x = 1,985.32 × 848.97
  4. Step 4: Simplify right side
    1,438.55x = 1,685,477.12
  5. Step 5: Solve for x
    x = 1,685,477.12/1,438.55
  6. Step 6: Final answer
    x = 1,171.65

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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.