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Finding the Fourth Proportional to 483.48, 662.40 and 471.60

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Solution

The fourth proportional to 483.48, 662.40 and 471.60 is: 646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.48 : 662.40 = 471.60 : x
  2. Step 2: Convert to fraction form
    483.48/662.40 = 471.60/x
  3. Step 3: Cross multiply
    483.48x = 662.40 × 471.60
  4. Step 4: Simplify right side
    483.48x = 312,387.84
  5. Step 5: Solve for x
    x = 312,387.84/483.48
  6. Step 6: Final answer
    x = 646.12

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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.