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Finding the Fourth Proportional to 692.65, 1,038.15 and 345.88

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Solution

The fourth proportional to 692.65, 1,038.15 and 345.88 is: 518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.65 : 1,038.15 = 345.88 : x
  2. Step 2: Convert to fraction form
    692.65/1,038.15 = 345.88/x
  3. Step 3: Cross multiply
    692.65x = 1,038.15 × 345.88
  4. Step 4: Simplify right side
    692.65x = 359,075.32
  5. Step 5: Solve for x
    x = 359,075.32/692.65
  6. Step 6: Final answer
    x = 518.41

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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.