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Finding the Fourth Proportional to 1,019.06, 1,528.30 and 394.21

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Solution

The fourth proportional to 1,019.06, 1,528.30 and 394.21 is: 591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.06 : 1,528.30 = 394.21 : x
  2. Step 2: Convert to fraction form
    1,019.06/1,528.30 = 394.21/x
  3. Step 3: Cross multiply
    1,019.06x = 1,528.30 × 394.21
  4. Step 4: Simplify right side
    1,019.06x = 602,471.14
  5. Step 5: Solve for x
    x = 602,471.14/1,019.06
  6. Step 6: Final answer
    x = 591.20

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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.