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Finding the Fourth Proportional to 2,309.16, 3,463.74 and 577.79

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Solution

The fourth proportional to 2,309.16, 3,463.74 and 577.79 is: 866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.16 : 3,463.74 = 577.79 : x
  2. Step 2: Convert to fraction form
    2,309.16/3,463.74 = 577.79/x
  3. Step 3: Cross multiply
    2,309.16x = 3,463.74 × 577.79
  4. Step 4: Simplify right side
    2,309.16x = 2,001,297.02
  5. Step 5: Solve for x
    x = 2,001,297.02/2,309.16
  6. Step 6: Final answer
    x = 866.68

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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.