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Finding the Fourth Proportional to 1,068.15, 1,598.89 and 692.40

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Solution

The fourth proportional to 1,068.15, 1,598.89 and 692.40 is: 1,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.15 : 1,598.89 = 692.40 : x
  2. Step 2: Convert to fraction form
    1,068.15/1,598.89 = 692.40/x
  3. Step 3: Cross multiply
    1,068.15x = 1,598.89 × 692.40
  4. Step 4: Simplify right side
    1,068.15x = 1,107,073.70
  5. Step 5: Solve for x
    x = 1,107,073.70/1,068.15
  6. Step 6: Final answer
    x = 1,036.44

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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.