Home / 1,460.24-2,190.40-420.32

Finding the Fourth Proportional to 1,460.24, 2,190.40 and 420.32

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Solution

The fourth proportional to 1,460.24, 2,190.40 and 420.32 is: 630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.24 : 2,190.40 = 420.32 : x
  2. Step 2: Convert to fraction form
    1,460.24/2,190.40 = 420.32/x
  3. Step 3: Cross multiply
    1,460.24x = 2,190.40 × 420.32
  4. Step 4: Simplify right side
    1,460.24x = 920,668.93
  5. Step 5: Solve for x
    x = 920,668.93/1,460.24
  6. Step 6: Final answer
    x = 630.49

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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.