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Finding the Fourth Proportional to 886.86, 1,330.65 and 393.01

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Solution

The fourth proportional to 886.86, 1,330.65 and 393.01 is: 589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.86 : 1,330.65 = 393.01 : x
  2. Step 2: Convert to fraction form
    886.86/1,330.65 = 393.01/x
  3. Step 3: Cross multiply
    886.86x = 1,330.65 × 393.01
  4. Step 4: Simplify right side
    886.86x = 522,958.76
  5. Step 5: Solve for x
    x = 522,958.76/886.86
  6. Step 6: Final answer
    x = 589.67

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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.