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Finding the Fourth Proportional to 919.20, 1,290.53 and 919.20

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Solution

The fourth proportional to 919.20, 1,290.53 and 919.20 is: 1,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.20 : 1,290.53 = 919.20 : x
  2. Step 2: Convert to fraction form
    919.20/1,290.53 = 919.20/x
  3. Step 3: Cross multiply
    919.20x = 1,290.53 × 919.20
  4. Step 4: Simplify right side
    919.20x = 1,186,250.58
  5. Step 5: Solve for x
    x = 1,186,250.58/919.20
  6. Step 6: Final answer
    x = 1,290.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.