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Finding the Fourth Proportional to 528.12, 728.51 and 362.07

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Solution

The fourth proportional to 528.12, 728.51 and 362.07 is: 499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.12 : 728.51 = 362.07 : x
  2. Step 2: Convert to fraction form
    528.12/728.51 = 362.07/x
  3. Step 3: Cross multiply
    528.12x = 728.51 × 362.07
  4. Step 4: Simplify right side
    528.12x = 263,769.81
  5. Step 5: Solve for x
    x = 263,769.81/528.12
  6. Step 6: Final answer
    x = 499.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.