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Finding the Fourth Proportional to 991.14, 1,485.78 and 341.42

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Solution

The fourth proportional to 991.14, 1,485.78 and 341.42 is: 511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.14 : 1,485.78 = 341.42 : x
  2. Step 2: Convert to fraction form
    991.14/1,485.78 = 341.42/x
  3. Step 3: Cross multiply
    991.14x = 1,485.78 × 341.42
  4. Step 4: Simplify right side
    991.14x = 507,275.01
  5. Step 5: Solve for x
    x = 507,275.01/991.14
  6. Step 6: Final answer
    x = 511.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.