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Finding the Fourth Proportional to 646.63, 886.54 and 634.95

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Solution

The fourth proportional to 646.63, 886.54 and 634.95 is: 870.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.63 : 886.54 = 634.95 : x
  2. Step 2: Convert to fraction form
    646.63/886.54 = 634.95/x
  3. Step 3: Cross multiply
    646.63x = 886.54 × 634.95
  4. Step 4: Simplify right side
    646.63x = 562,908.57
  5. Step 5: Solve for x
    x = 562,908.57/646.63
  6. Step 6: Final answer
    x = 870.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.