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Finding the Fourth Proportional to 463.69, 692.45 and 436.69

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Solution

The fourth proportional to 463.69, 692.45 and 436.69 is: 652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.69 : 692.45 = 436.69 : x
  2. Step 2: Convert to fraction form
    463.69/692.45 = 436.69/x
  3. Step 3: Cross multiply
    463.69x = 692.45 × 436.69
  4. Step 4: Simplify right side
    463.69x = 302,383.81
  5. Step 5: Solve for x
    x = 302,383.81/463.69
  6. Step 6: Final answer
    x = 652.12

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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.