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Finding the Fourth Proportional to 692.96, 953.44 and 599.40

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Solution

The fourth proportional to 692.96, 953.44 and 599.40 is: 824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.96 : 953.44 = 599.40 : x
  2. Step 2: Convert to fraction form
    692.96/953.44 = 599.40/x
  3. Step 3: Cross multiply
    692.96x = 953.44 × 599.40
  4. Step 4: Simplify right side
    692.96x = 571,490.44
  5. Step 5: Solve for x
    x = 571,490.44/692.96
  6. Step 6: Final answer
    x = 824.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.