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Finding the Fourth Proportional to 965.59, 1,447.71 and 478.33

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Solution

The fourth proportional to 965.59, 1,447.71 and 478.33 is: 717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.59 : 1,447.71 = 478.33 : x
  2. Step 2: Convert to fraction form
    965.59/1,447.71 = 478.33/x
  3. Step 3: Cross multiply
    965.59x = 1,447.71 × 478.33
  4. Step 4: Simplify right side
    965.59x = 692,483.12
  5. Step 5: Solve for x
    x = 692,483.12/965.59
  6. Step 6: Final answer
    x = 717.16

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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.