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Finding the Fourth Proportional to 472.74, 646.60 and 465.18

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Solution

The fourth proportional to 472.74, 646.60 and 465.18 is: 636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.74 : 646.60 = 465.18 : x
  2. Step 2: Convert to fraction form
    472.74/646.60 = 465.18/x
  3. Step 3: Cross multiply
    472.74x = 646.60 × 465.18
  4. Step 4: Simplify right side
    472.74x = 300,785.39
  5. Step 5: Solve for x
    x = 300,785.39/472.74
  6. Step 6: Final answer
    x = 636.26

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Find fourth proportional to 236.37, 323.30 and 232.59
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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.