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Finding the Fourth Proportional to 646.45, 971.01 and 523.19

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Solution

The fourth proportional to 646.45, 971.01 and 523.19 is: 785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.45 : 971.01 = 523.19 : x
  2. Step 2: Convert to fraction form
    646.45/971.01 = 523.19/x
  3. Step 3: Cross multiply
    646.45x = 971.01 × 523.19
  4. Step 4: Simplify right side
    646.45x = 508,020.11
  5. Step 5: Solve for x
    x = 508,020.11/646.45
  6. Step 6: Final answer
    x = 785.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.