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Finding the Fourth Proportional to 2,309.09, 3,463.65 and 577.71

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Solution

The fourth proportional to 2,309.09, 3,463.65 and 577.71 is: 866.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.09 : 3,463.65 = 577.71 : x
  2. Step 2: Convert to fraction form
    2,309.09/3,463.65 = 577.71/x
  3. Step 3: Cross multiply
    2,309.09x = 3,463.65 × 577.71
  4. Step 4: Simplify right side
    2,309.09x = 2,000,985.24
  5. Step 5: Solve for x
    x = 2,000,985.24/2,309.09
  6. Step 6: Final answer
    x = 866.57

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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.