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Finding the Fourth Proportional to 528.08, 727.54 and 435.13

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Solution

The fourth proportional to 528.08, 727.54 and 435.13 is: 599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.08 : 727.54 = 435.13 : x
  2. Step 2: Convert to fraction form
    528.08/727.54 = 435.13/x
  3. Step 3: Cross multiply
    528.08x = 727.54 × 435.13
  4. Step 4: Simplify right side
    528.08x = 316,571.57
  5. Step 5: Solve for x
    x = 316,571.57/528.08
  6. Step 6: Final answer
    x = 599.48

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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.