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Finding the Fourth Proportional to 462.72, 692.80 and 456.32

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Solution

The fourth proportional to 462.72, 692.80 and 456.32 is: 683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.72 : 692.80 = 456.32 : x
  2. Step 2: Convert to fraction form
    462.72/692.80 = 456.32/x
  3. Step 3: Cross multiply
    462.72x = 692.80 × 456.32
  4. Step 4: Simplify right side
    462.72x = 316,138.50
  5. Step 5: Solve for x
    x = 316,138.50/462.72
  6. Step 6: Final answer
    x = 683.22

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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.