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Finding the Fourth Proportional to 2,307.80, 3,460.90 and 663.90

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Solution

The fourth proportional to 2,307.80, 3,460.90 and 663.90 is: 995.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.80 : 3,460.90 = 663.90 : x
  2. Step 2: Convert to fraction form
    2,307.80/3,460.90 = 663.90/x
  3. Step 3: Cross multiply
    2,307.80x = 3,460.90 × 663.90
  4. Step 4: Simplify right side
    2,307.80x = 2,297,689.85
  5. Step 5: Solve for x
    x = 2,297,689.85/2,307.80
  6. Step 6: Final answer
    x = 995.62

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1.5x scale

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.