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Finding the Fourth Proportional to 692.19, 1,038.08 and 345.32

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Solution

The fourth proportional to 692.19, 1,038.08 and 345.32 is: 517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.19 : 1,038.08 = 345.32 : x
  2. Step 2: Convert to fraction form
    692.19/1,038.08 = 345.32/x
  3. Step 3: Cross multiply
    692.19x = 1,038.08 × 345.32
  4. Step 4: Simplify right side
    692.19x = 358,462.87
  5. Step 5: Solve for x
    x = 358,462.87/692.19
  6. Step 6: Final answer
    x = 517.87

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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.