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Finding the Fourth Proportional to 528.05, 727.93 and 434.63

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Solution

The fourth proportional to 528.05, 727.93 and 434.63 is: 599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.05 : 727.93 = 434.63 : x
  2. Step 2: Convert to fraction form
    528.05/727.93 = 434.63/x
  3. Step 3: Cross multiply
    528.05x = 727.93 × 434.63
  4. Step 4: Simplify right side
    528.05x = 316,380.22
  5. Step 5: Solve for x
    x = 316,380.22/528.05
  6. Step 6: Final answer
    x = 599.15

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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.