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Finding the Fourth Proportional to 488.55, 728.88 and 465.36

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Solution

The fourth proportional to 488.55, 728.88 and 465.36 is: 694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.55 : 728.88 = 465.36 : x
  2. Step 2: Convert to fraction form
    488.55/728.88 = 465.36/x
  3. Step 3: Cross multiply
    488.55x = 728.88 × 465.36
  4. Step 4: Simplify right side
    488.55x = 339,191.60
  5. Step 5: Solve for x
    x = 339,191.60/488.55
  6. Step 6: Final answer
    x = 694.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.