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Finding the Fourth Proportional to 976.55, 1,464.93 and 649.62

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Solution

The fourth proportional to 976.55, 1,464.93 and 649.62 is: 974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.55 : 1,464.93 = 649.62 : x
  2. Step 2: Convert to fraction form
    976.55/1,464.93 = 649.62/x
  3. Step 3: Cross multiply
    976.55x = 1,464.93 × 649.62
  4. Step 4: Simplify right side
    976.55x = 951,647.83
  5. Step 5: Solve for x
    x = 951,647.83/976.55
  6. Step 6: Final answer
    x = 974.50

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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.