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Finding the Fourth Proportional to 692.68, 1,036.57 and 432.80

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Solution

The fourth proportional to 692.68, 1,036.57 and 432.80 is: 647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.68 : 1,036.57 = 432.80 : x
  2. Step 2: Convert to fraction form
    692.68/1,036.57 = 432.80/x
  3. Step 3: Cross multiply
    692.68x = 1,036.57 × 432.80
  4. Step 4: Simplify right side
    692.68x = 448,627.50
  5. Step 5: Solve for x
    x = 448,627.50/692.68
  6. Step 6: Final answer
    x = 647.67

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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.