Home / 1,526.90-2,288.75-705.71

Finding the Fourth Proportional to 1,526.90, 2,288.75 and 705.71

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Solution

The fourth proportional to 1,526.90, 2,288.75 and 705.71 is: 1,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.90 : 2,288.75 = 705.71 : x
  2. Step 2: Convert to fraction form
    1,526.90/2,288.75 = 705.71/x
  3. Step 3: Cross multiply
    1,526.90x = 2,288.75 × 705.71
  4. Step 4: Simplify right side
    1,526.90x = 1,615,201.25
  5. Step 5: Solve for x
    x = 1,615,201.25/1,526.90
  6. Step 6: Final answer
    x = 1,057.83

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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.