Home / 1,505.40-2,258.34-465.16

Finding the Fourth Proportional to 1,505.40, 2,258.34 and 465.16

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Solution

The fourth proportional to 1,505.40, 2,258.34 and 465.16 is: 697.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.40 : 2,258.34 = 465.16 : x
  2. Step 2: Convert to fraction form
    1,505.40/2,258.34 = 465.16/x
  3. Step 3: Cross multiply
    1,505.40x = 2,258.34 × 465.16
  4. Step 4: Simplify right side
    1,505.40x = 1,050,489.43
  5. Step 5: Solve for x
    x = 1,050,489.43/1,505.40
  6. Step 6: Final answer
    x = 697.81

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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.