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Finding the Fourth Proportional to 529.57, 730.49 and 390.05

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Solution

The fourth proportional to 529.57, 730.49 and 390.05 is: 538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.57 : 730.49 = 390.05 : x
  2. Step 2: Convert to fraction form
    529.57/730.49 = 390.05/x
  3. Step 3: Cross multiply
    529.57x = 730.49 × 390.05
  4. Step 4: Simplify right side
    529.57x = 284,922.02
  5. Step 5: Solve for x
    x = 284,922.02/529.57
  6. Step 6: Final answer
    x = 538.03

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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.