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Finding the Fourth Proportional to 1,090.92, 1,505.43 and 618.87

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Solution

The fourth proportional to 1,090.92, 1,505.43 and 618.87 is: 854.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.92 : 1,505.43 = 618.87 : x
  2. Step 2: Convert to fraction form
    1,090.92/1,505.43 = 618.87/x
  3. Step 3: Cross multiply
    1,090.92x = 1,505.43 × 618.87
  4. Step 4: Simplify right side
    1,090.92x = 931,665.46
  5. Step 5: Solve for x
    x = 931,665.46/1,090.92
  6. Step 6: Final answer
    x = 854.02

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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.