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Finding the Fourth Proportional to 687.89, 946.47 and 594.33

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Solution

The fourth proportional to 687.89, 946.47 and 594.33 is: 817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.89 : 946.47 = 594.33 : x
  2. Step 2: Convert to fraction form
    687.89/946.47 = 594.33/x
  3. Step 3: Cross multiply
    687.89x = 946.47 × 594.33
  4. Step 4: Simplify right side
    687.89x = 562,516.18
  5. Step 5: Solve for x
    x = 562,516.18/687.89
  6. Step 6: Final answer
    x = 817.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.