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Finding the Fourth Proportional to 1,490.19, 2,235.28 and 464.19

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Solution

The fourth proportional to 1,490.19, 2,235.28 and 464.19 is: 696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.19 : 2,235.28 = 464.19 : x
  2. Step 2: Convert to fraction form
    1,490.19/2,235.28 = 464.19/x
  3. Step 3: Cross multiply
    1,490.19x = 2,235.28 × 464.19
  4. Step 4: Simplify right side
    1,490.19x = 1,037,589.62
  5. Step 5: Solve for x
    x = 1,037,589.62/1,490.19
  6. Step 6: Final answer
    x = 696.28

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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.