Home / 1,160.96-1,731.20-999.68

Finding the Fourth Proportional to 1,160.96, 1,731.20 and 999.68

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Solution

The fourth proportional to 1,160.96, 1,731.20 and 999.68 is: 1,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.96 : 1,731.20 = 999.68 : x
  2. Step 2: Convert to fraction form
    1,160.96/1,731.20 = 999.68/x
  3. Step 3: Cross multiply
    1,160.96x = 1,731.20 × 999.68
  4. Step 4: Simplify right side
    1,160.96x = 1,730,646.02
  5. Step 5: Solve for x
    x = 1,730,646.02/1,160.96
  6. Step 6: Final answer
    x = 1,490.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.