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Finding the Fourth Proportional to 692.52, 1,038.66 and 322.22

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Solution

The fourth proportional to 692.52, 1,038.66 and 322.22 is: 483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.52 : 1,038.66 = 322.22 : x
  2. Step 2: Convert to fraction form
    692.52/1,038.66 = 322.22/x
  3. Step 3: Cross multiply
    692.52x = 1,038.66 × 322.22
  4. Step 4: Simplify right side
    692.52x = 334,677.03
  5. Step 5: Solve for x
    x = 334,677.03/692.52
  6. Step 6: Final answer
    x = 483.27

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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.