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Finding the Fourth Proportional to 646.89, 974.13 and 465.55

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Solution

The fourth proportional to 646.89, 974.13 and 465.55 is: 701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.89 : 974.13 = 465.55 : x
  2. Step 2: Convert to fraction form
    646.89/974.13 = 465.55/x
  3. Step 3: Cross multiply
    646.89x = 974.13 × 465.55
  4. Step 4: Simplify right side
    646.89x = 453,502.04
  5. Step 5: Solve for x
    x = 453,502.04/646.89
  6. Step 6: Final answer
    x = 701.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.