Home / 1,528.60-2,289.82-705.72

Finding the Fourth Proportional to 1,528.60, 2,289.82 and 705.72

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Solution

The fourth proportional to 1,528.60, 2,289.82 and 705.72 is: 1,057.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.60 : 2,289.82 = 705.72 : x
  2. Step 2: Convert to fraction form
    1,528.60/2,289.82 = 705.72/x
  3. Step 3: Cross multiply
    1,528.60x = 2,289.82 × 705.72
  4. Step 4: Simplify right side
    1,528.60x = 1,615,971.77
  5. Step 5: Solve for x
    x = 1,615,971.77/1,528.60
  6. Step 6: Final answer
    x = 1,057.16

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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.