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Finding the Fourth Proportional to 692.16, 1,036.86 and 460.26

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Solution

The fourth proportional to 692.16, 1,036.86 and 460.26 is: 689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.16 : 1,036.86 = 460.26 : x
  2. Step 2: Convert to fraction form
    692.16/1,036.86 = 460.26/x
  3. Step 3: Cross multiply
    692.16x = 1,036.86 × 460.26
  4. Step 4: Simplify right side
    692.16x = 477,225.18
  5. Step 5: Solve for x
    x = 477,225.18/692.16
  6. Step 6: Final answer
    x = 689.47

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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.