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Finding the Fourth Proportional to 692.65, 1,038.77 and 259.71

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Solution

The fourth proportional to 692.65, 1,038.77 and 259.71 is: 389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.65 : 1,038.77 = 259.71 : x
  2. Step 2: Convert to fraction form
    692.65/1,038.77 = 259.71/x
  3. Step 3: Cross multiply
    692.65x = 1,038.77 × 259.71
  4. Step 4: Simplify right side
    692.65x = 269,772.46
  5. Step 5: Solve for x
    x = 269,772.46/692.65
  6. Step 6: Final answer
    x = 389.48

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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.