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Finding the Fourth Proportional to 994.85, 1,492.23 and 302.00

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Solution

The fourth proportional to 994.85, 1,492.23 and 302.00 is: 452.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.85 : 1,492.23 = 302.00 : x
  2. Step 2: Convert to fraction form
    994.85/1,492.23 = 302.00/x
  3. Step 3: Cross multiply
    994.85x = 1,492.23 × 302.00
  4. Step 4: Simplify right side
    994.85x = 450,646.00
  5. Step 5: Solve for x
    x = 450,646.00/994.85
  6. Step 6: Final answer
    x = 452.98

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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.