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Finding the Fourth Proportional to 694.09, 1,036.58 and 601.75

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Solution

The fourth proportional to 694.09, 1,036.58 and 601.75 is: 898.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.09 : 1,036.58 = 601.75 : x
  2. Step 2: Convert to fraction form
    694.09/1,036.58 = 601.75/x
  3. Step 3: Cross multiply
    694.09x = 1,036.58 × 601.75
  4. Step 4: Simplify right side
    694.09x = 623,762.02
  5. Step 5: Solve for x
    x = 623,762.02/694.09
  6. Step 6: Final answer
    x = 898.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.