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Finding the Fourth Proportional to 723.42, 1,000.08 and 692.82

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Solution

The fourth proportional to 723.42, 1,000.08 and 692.82 is: 957.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.42 : 1,000.08 = 692.82 : x
  2. Step 2: Convert to fraction form
    723.42/1,000.08 = 692.82/x
  3. Step 3: Cross multiply
    723.42x = 1,000.08 × 692.82
  4. Step 4: Simplify right side
    723.42x = 692,875.43
  5. Step 5: Solve for x
    x = 692,875.43/723.42
  6. Step 6: Final answer
    x = 957.78

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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.