Home / 1,505.36-2,258.16-409.76

Finding the Fourth Proportional to 1,505.36, 2,258.16 and 409.76

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Solution

The fourth proportional to 1,505.36, 2,258.16 and 409.76 is: 614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.36 : 2,258.16 = 409.76 : x
  2. Step 2: Convert to fraction form
    1,505.36/2,258.16 = 409.76/x
  3. Step 3: Cross multiply
    1,505.36x = 2,258.16 × 409.76
  4. Step 4: Simplify right side
    1,505.36x = 925,303.64
  5. Step 5: Solve for x
    x = 925,303.64/1,505.36
  6. Step 6: Final answer
    x = 614.67

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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.