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Finding the Fourth Proportional to 1,142.22, 1,576.08 and 644.76

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Solution

The fourth proportional to 1,142.22, 1,576.08 and 644.76 is: 889.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.22 : 1,576.08 = 644.76 : x
  2. Step 2: Convert to fraction form
    1,142.22/1,576.08 = 644.76/x
  3. Step 3: Cross multiply
    1,142.22x = 1,576.08 × 644.76
  4. Step 4: Simplify right side
    1,142.22x = 1,016,193.34
  5. Step 5: Solve for x
    x = 1,016,193.34/1,142.22
  6. Step 6: Final answer
    x = 889.67

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.