Home / 1,052.29-1,577.76-402.67

Finding the Fourth Proportional to 1,052.29, 1,577.76 and 402.67

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Solution

The fourth proportional to 1,052.29, 1,577.76 and 402.67 is: 603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.29 : 1,577.76 = 402.67 : x
  2. Step 2: Convert to fraction form
    1,052.29/1,577.76 = 402.67/x
  3. Step 3: Cross multiply
    1,052.29x = 1,577.76 × 402.67
  4. Step 4: Simplify right side
    1,052.29x = 635,316.62
  5. Step 5: Solve for x
    x = 635,316.62/1,052.29
  6. Step 6: Final answer
    x = 603.75

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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.