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Finding the Fourth Proportional to 684.99, 1,020.98 and 646.07

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Solution

The fourth proportional to 684.99, 1,020.98 and 646.07 is: 962.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.99 : 1,020.98 = 646.07 : x
  2. Step 2: Convert to fraction form
    684.99/1,020.98 = 646.07/x
  3. Step 3: Cross multiply
    684.99x = 1,020.98 × 646.07
  4. Step 4: Simplify right side
    684.99x = 659,625.49
  5. Step 5: Solve for x
    x = 659,625.49/684.99
  6. Step 6: Final answer
    x = 962.97

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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.