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Finding the Fourth Proportional to 651.89, 977.84 and 189.67

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Solution

The fourth proportional to 651.89, 977.84 and 189.67 is: 284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.89 : 977.84 = 189.67 : x
  2. Step 2: Convert to fraction form
    651.89/977.84 = 189.67/x
  3. Step 3: Cross multiply
    651.89x = 977.84 × 189.67
  4. Step 4: Simplify right side
    651.89x = 185,466.91
  5. Step 5: Solve for x
    x = 185,466.91/651.89
  6. Step 6: Final answer
    x = 284.51

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Double scale
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Similar ratio
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1.5x scale

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.