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Finding the Fourth Proportional to 684.93, 1,020.88 and 646.01

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Solution

The fourth proportional to 684.93, 1,020.88 and 646.01 is: 962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.93 : 1,020.88 = 646.01 : x
  2. Step 2: Convert to fraction form
    684.93/1,020.88 = 646.01/x
  3. Step 3: Cross multiply
    684.93x = 1,020.88 × 646.01
  4. Step 4: Simplify right side
    684.93x = 659,498.22
  5. Step 5: Solve for x
    x = 659,498.22/684.93
  6. Step 6: Final answer
    x = 962.87

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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.