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Finding the Fourth Proportional to 646.48, 964.36 and 584.92

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Solution

The fourth proportional to 646.48, 964.36 and 584.92 is: 872.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.48 : 964.36 = 584.92 : x
  2. Step 2: Convert to fraction form
    646.48/964.36 = 584.92/x
  3. Step 3: Cross multiply
    646.48x = 964.36 × 584.92
  4. Step 4: Simplify right side
    646.48x = 564,073.45
  5. Step 5: Solve for x
    x = 564,073.45/646.48
  6. Step 6: Final answer
    x = 872.53

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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.