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Finding the Fourth Proportional to 1,152.20, 1,727.33 and 421.35

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Solution

The fourth proportional to 1,152.20, 1,727.33 and 421.35 is: 631.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.20 : 1,727.33 = 421.35 : x
  2. Step 2: Convert to fraction form
    1,152.20/1,727.33 = 421.35/x
  3. Step 3: Cross multiply
    1,152.20x = 1,727.33 × 421.35
  4. Step 4: Simplify right side
    1,152.20x = 727,808.39
  5. Step 5: Solve for x
    x = 727,808.39/1,152.20
  6. Step 6: Final answer
    x = 631.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.