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Finding the Fourth Proportional to 690.93, 1,029.76 and 685.21

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Solution

The fourth proportional to 690.93, 1,029.76 and 685.21 is: 1,021.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.93 : 1,029.76 = 685.21 : x
  2. Step 2: Convert to fraction form
    690.93/1,029.76 = 685.21/x
  3. Step 3: Cross multiply
    690.93x = 1,029.76 × 685.21
  4. Step 4: Simplify right side
    690.93x = 705,603.35
  5. Step 5: Solve for x
    x = 705,603.35/690.93
  6. Step 6: Final answer
    x = 1,021.24

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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.