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Finding the Fourth Proportional to 1,179.20, 1,627.24 and 655.20

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Solution

The fourth proportional to 1,179.20, 1,627.24 and 655.20 is: 904.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.20 : 1,627.24 = 655.20 : x
  2. Step 2: Convert to fraction form
    1,179.20/1,627.24 = 655.20/x
  3. Step 3: Cross multiply
    1,179.20x = 1,627.24 × 655.20
  4. Step 4: Simplify right side
    1,179.20x = 1,066,167.65
  5. Step 5: Solve for x
    x = 1,066,167.65/1,179.20
  6. Step 6: Final answer
    x = 904.14

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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.