Home / 1,534.02-2,301.23-438.41

Finding the Fourth Proportional to 1,534.02, 2,301.23 and 438.41

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Solution

The fourth proportional to 1,534.02, 2,301.23 and 438.41 is: 657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.02 : 2,301.23 = 438.41 : x
  2. Step 2: Convert to fraction form
    1,534.02/2,301.23 = 438.41/x
  3. Step 3: Cross multiply
    1,534.02x = 2,301.23 × 438.41
  4. Step 4: Simplify right side
    1,534.02x = 1,008,882.24
  5. Step 5: Solve for x
    x = 1,008,882.24/1,534.02
  6. Step 6: Final answer
    x = 657.67

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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.