Home / 1,584.68-2,377.06-430.44

Finding the Fourth Proportional to 1,584.68, 2,377.06 and 430.44

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Solution

The fourth proportional to 1,584.68, 2,377.06 and 430.44 is: 645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.68 : 2,377.06 = 430.44 : x
  2. Step 2: Convert to fraction form
    1,584.68/2,377.06 = 430.44/x
  3. Step 3: Cross multiply
    1,584.68x = 2,377.06 × 430.44
  4. Step 4: Simplify right side
    1,584.68x = 1,023,181.71
  5. Step 5: Solve for x
    x = 1,023,181.71/1,584.68
  6. Step 6: Final answer
    x = 645.67

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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.