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Finding the Fourth Proportional to 528.01, 785.89 and 513.43

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Solution

The fourth proportional to 528.01, 785.89 and 513.43 is: 764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.01 : 785.89 = 513.43 : x
  2. Step 2: Convert to fraction form
    528.01/785.89 = 513.43/x
  3. Step 3: Cross multiply
    528.01x = 785.89 × 513.43
  4. Step 4: Simplify right side
    528.01x = 403,498.18
  5. Step 5: Solve for x
    x = 403,498.18/528.01
  6. Step 6: Final answer
    x = 764.19

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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.