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Finding the Fourth Proportional to 1,528.87, 2,291.74 and 604.05

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Solution

The fourth proportional to 1,528.87, 2,291.74 and 604.05 is: 905.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.87 : 2,291.74 = 604.05 : x
  2. Step 2: Convert to fraction form
    1,528.87/2,291.74 = 604.05/x
  3. Step 3: Cross multiply
    1,528.87x = 2,291.74 × 604.05
  4. Step 4: Simplify right side
    1,528.87x = 1,384,322.53
  5. Step 5: Solve for x
    x = 1,384,322.53/1,528.87
  6. Step 6: Final answer
    x = 905.45

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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.