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Finding the Fourth Proportional to 1,173.43, 1,760.40 and 393.45

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Solution

The fourth proportional to 1,173.43, 1,760.40 and 393.45 is: 590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.43 : 1,760.40 = 393.45 : x
  2. Step 2: Convert to fraction form
    1,173.43/1,760.40 = 393.45/x
  3. Step 3: Cross multiply
    1,173.43x = 1,760.40 × 393.45
  4. Step 4: Simplify right side
    1,173.43x = 692,627.41
  5. Step 5: Solve for x
    x = 692,627.41/1,173.43
  6. Step 6: Final answer
    x = 590.26

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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.