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Finding the Fourth Proportional to 1,160.45, 1,740.87 and 380.23

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Solution

The fourth proportional to 1,160.45, 1,740.87 and 380.23 is: 570.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.45 : 1,740.87 = 380.23 : x
  2. Step 2: Convert to fraction form
    1,160.45/1,740.87 = 380.23/x
  3. Step 3: Cross multiply
    1,160.45x = 1,740.87 × 380.23
  4. Step 4: Simplify right side
    1,160.45x = 661,931.00
  5. Step 5: Solve for x
    x = 661,931.00/1,160.45
  6. Step 6: Final answer
    x = 570.41

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Double scale
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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.