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Finding the Fourth Proportional to 692.17, 1,036.90 and 460.38

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Solution

The fourth proportional to 692.17, 1,036.90 and 460.38 is: 689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.17 : 1,036.90 = 460.38 : x
  2. Step 2: Convert to fraction form
    692.17/1,036.90 = 460.38/x
  3. Step 3: Cross multiply
    692.17x = 1,036.90 × 460.38
  4. Step 4: Simplify right side
    692.17x = 477,368.02
  5. Step 5: Solve for x
    x = 477,368.02/692.17
  6. Step 6: Final answer
    x = 689.67

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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.