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Finding the Fourth Proportional to 1,482.40, 2,224.26 and 509.20

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Solution

The fourth proportional to 1,482.40, 2,224.26 and 509.20 is: 764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.40 : 2,224.26 = 509.20 : x
  2. Step 2: Convert to fraction form
    1,482.40/2,224.26 = 509.20/x
  3. Step 3: Cross multiply
    1,482.40x = 2,224.26 × 509.20
  4. Step 4: Simplify right side
    1,482.40x = 1,132,593.19
  5. Step 5: Solve for x
    x = 1,132,593.19/1,482.40
  6. Step 6: Final answer
    x = 764.03

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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.