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Finding the Fourth Proportional to 690.21, 1,039.99 and 571.14

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Solution

The fourth proportional to 690.21, 1,039.99 and 571.14 is: 860.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.21 : 1,039.99 = 571.14 : x
  2. Step 2: Convert to fraction form
    690.21/1,039.99 = 571.14/x
  3. Step 3: Cross multiply
    690.21x = 1,039.99 × 571.14
  4. Step 4: Simplify right side
    690.21x = 593,979.89
  5. Step 5: Solve for x
    x = 593,979.89/690.21
  6. Step 6: Final answer
    x = 860.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.