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Finding the Fourth Proportional to 1,686.81, 2,529.61 and 712.99

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Solution

The fourth proportional to 1,686.81, 2,529.61 and 712.99 is: 1,069.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.81 : 2,529.61 = 712.99 : x
  2. Step 2: Convert to fraction form
    1,686.81/2,529.61 = 712.99/x
  3. Step 3: Cross multiply
    1,686.81x = 2,529.61 × 712.99
  4. Step 4: Simplify right side
    1,686.81x = 1,803,592.02
  5. Step 5: Solve for x
    x = 1,803,592.02/1,686.81
  6. Step 6: Final answer
    x = 1,069.23

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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.