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Finding the Fourth Proportional to 692.78, 1,038.36 and 307.76

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Solution

The fourth proportional to 692.78, 1,038.36 and 307.76 is: 461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.78 : 1,038.36 = 307.76 : x
  2. Step 2: Convert to fraction form
    692.78/1,038.36 = 307.76/x
  3. Step 3: Cross multiply
    692.78x = 1,038.36 × 307.76
  4. Step 4: Simplify right side
    692.78x = 319,565.67
  5. Step 5: Solve for x
    x = 319,565.67/692.78
  6. Step 6: Final answer
    x = 461.28

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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.