Home / 1,528.12-2,290.30-705.28

Finding the Fourth Proportional to 1,528.12, 2,290.30 and 705.28

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Solution

The fourth proportional to 1,528.12, 2,290.30 and 705.28 is: 1,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.12 : 2,290.30 = 705.28 : x
  2. Step 2: Convert to fraction form
    1,528.12/2,290.30 = 705.28/x
  3. Step 3: Cross multiply
    1,528.12x = 2,290.30 × 705.28
  4. Step 4: Simplify right side
    1,528.12x = 1,615,302.78
  5. Step 5: Solve for x
    x = 1,615,302.78/1,528.12
  6. Step 6: Final answer
    x = 1,057.05

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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.