Home / 1,528.49-2,290.86-705.62

Finding the Fourth Proportional to 1,528.49, 2,290.86 and 705.62

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Solution

The fourth proportional to 1,528.49, 2,290.86 and 705.62 is: 1,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.49 : 2,290.86 = 705.62 : x
  2. Step 2: Convert to fraction form
    1,528.49/2,290.86 = 705.62/x
  3. Step 3: Cross multiply
    1,528.49x = 2,290.86 × 705.62
  4. Step 4: Simplify right side
    1,528.49x = 1,616,476.63
  5. Step 5: Solve for x
    x = 1,616,476.63/1,528.49
  6. Step 6: Final answer
    x = 1,057.56

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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.