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Finding the Fourth Proportional to 692.63, 1,036.49 and 432.41

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Solution

The fourth proportional to 692.63, 1,036.49 and 432.41 is: 647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.63 : 1,036.49 = 432.41 : x
  2. Step 2: Convert to fraction form
    692.63/1,036.49 = 432.41/x
  3. Step 3: Cross multiply
    692.63x = 1,036.49 × 432.41
  4. Step 4: Simplify right side
    692.63x = 448,188.64
  5. Step 5: Solve for x
    x = 448,188.64/692.63
  6. Step 6: Final answer
    x = 647.08

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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.