Home / 1,057.24-1,458.74-609.16

Finding the Fourth Proportional to 1,057.24, 1,458.74 and 609.16

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Solution

The fourth proportional to 1,057.24, 1,458.74 and 609.16 is: 840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.24 : 1,458.74 = 609.16 : x
  2. Step 2: Convert to fraction form
    1,057.24/1,458.74 = 609.16/x
  3. Step 3: Cross multiply
    1,057.24x = 1,458.74 × 609.16
  4. Step 4: Simplify right side
    1,057.24x = 888,606.06
  5. Step 5: Solve for x
    x = 888,606.06/1,057.24
  6. Step 6: Final answer
    x = 840.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.