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Finding the Fourth Proportional to 646.47, 969.54 and 235.53

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Solution

The fourth proportional to 646.47, 969.54 and 235.53 is: 353.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.47 : 969.54 = 235.53 : x
  2. Step 2: Convert to fraction form
    646.47/969.54 = 235.53/x
  3. Step 3: Cross multiply
    646.47x = 969.54 × 235.53
  4. Step 4: Simplify right side
    646.47x = 228,355.76
  5. Step 5: Solve for x
    x = 228,355.76/646.47
  6. Step 6: Final answer
    x = 353.23

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