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Finding the Fourth Proportional to 1,001.28, 1,501.44 and 846.72

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Solution

The fourth proportional to 1,001.28, 1,501.44 and 846.72 is: 1,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.28 : 1,501.44 = 846.72 : x
  2. Step 2: Convert to fraction form
    1,001.28/1,501.44 = 846.72/x
  3. Step 3: Cross multiply
    1,001.28x = 1,501.44 × 846.72
  4. Step 4: Simplify right side
    1,001.28x = 1,271,299.28
  5. Step 5: Solve for x
    x = 1,271,299.28/1,001.28
  6. Step 6: Final answer
    x = 1,269.67

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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.