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Finding the Fourth Proportional to 505.36, 751.55 and 489.16

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Solution

The fourth proportional to 505.36, 751.55 and 489.16 is: 727.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.36 : 751.55 = 489.16 : x
  2. Step 2: Convert to fraction form
    505.36/751.55 = 489.16/x
  3. Step 3: Cross multiply
    505.36x = 751.55 × 489.16
  4. Step 4: Simplify right side
    505.36x = 367,628.20
  5. Step 5: Solve for x
    x = 367,628.20/505.36
  6. Step 6: Final answer
    x = 727.46

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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.