Home / 1,160.10-1,740.33-380.16

Finding the Fourth Proportional to 1,160.10, 1,740.33 and 380.16

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Solution

The fourth proportional to 1,160.10, 1,740.33 and 380.16 is: 570.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.10 : 1,740.33 = 380.16 : x
  2. Step 2: Convert to fraction form
    1,160.10/1,740.33 = 380.16/x
  3. Step 3: Cross multiply
    1,160.10x = 1,740.33 × 380.16
  4. Step 4: Simplify right side
    1,160.10x = 661,603.85
  5. Step 5: Solve for x
    x = 661,603.85/1,160.10
  6. Step 6: Final answer
    x = 570.30

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1.5x scale

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.