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Finding the Fourth Proportional to 529.45, 795.06 and 357.23

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Solution

The fourth proportional to 529.45, 795.06 and 357.23 is: 536.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.45 : 795.06 = 357.23 : x
  2. Step 2: Convert to fraction form
    529.45/795.06 = 357.23/x
  3. Step 3: Cross multiply
    529.45x = 795.06 × 357.23
  4. Step 4: Simplify right side
    529.45x = 284,013.52
  5. Step 5: Solve for x
    x = 284,013.52/529.45
  6. Step 6: Final answer
    x = 536.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.