Home / 1,023.13-1,534.72-365.11

Finding the Fourth Proportional to 1,023.13, 1,534.72 and 365.11

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Solution

The fourth proportional to 1,023.13, 1,534.72 and 365.11 is: 547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.13 : 1,534.72 = 365.11 : x
  2. Step 2: Convert to fraction form
    1,023.13/1,534.72 = 365.11/x
  3. Step 3: Cross multiply
    1,023.13x = 1,534.72 × 365.11
  4. Step 4: Simplify right side
    1,023.13x = 560,338.58
  5. Step 5: Solve for x
    x = 560,338.58/1,023.13
  6. Step 6: Final answer
    x = 547.67

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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.