Home / 1,532.20-2,299.12-710.86

Finding the Fourth Proportional to 1,532.20, 2,299.12 and 710.86

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Solution

The fourth proportional to 1,532.20, 2,299.12 and 710.86 is: 1,066.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.20 : 2,299.12 = 710.86 : x
  2. Step 2: Convert to fraction form
    1,532.20/2,299.12 = 710.86/x
  3. Step 3: Cross multiply
    1,532.20x = 2,299.12 × 710.86
  4. Step 4: Simplify right side
    1,532.20x = 1,634,352.44
  5. Step 5: Solve for x
    x = 1,634,352.44/1,532.20
  6. Step 6: Final answer
    x = 1,066.67

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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.