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Finding the Fourth Proportional to 1,438.76, 1,985.18 and 849.16

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Solution

The fourth proportional to 1,438.76, 1,985.18 and 849.16 is: 1,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.76 : 1,985.18 = 849.16 : x
  2. Step 2: Convert to fraction form
    1,438.76/1,985.18 = 849.16/x
  3. Step 3: Cross multiply
    1,438.76x = 1,985.18 × 849.16
  4. Step 4: Simplify right side
    1,438.76x = 1,685,735.45
  5. Step 5: Solve for x
    x = 1,685,735.45/1,438.76
  6. Step 6: Final answer
    x = 1,171.66

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1.5x scale

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.