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Finding the Fourth Proportional to 464.76, 692.37 and 436.77

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Solution

The fourth proportional to 464.76, 692.37 and 436.77 is: 650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.76 : 692.37 = 436.77 : x
  2. Step 2: Convert to fraction form
    464.76/692.37 = 436.77/x
  3. Step 3: Cross multiply
    464.76x = 692.37 × 436.77
  4. Step 4: Simplify right side
    464.76x = 302,406.44
  5. Step 5: Solve for x
    x = 302,406.44/464.76
  6. Step 6: Final answer
    x = 650.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.