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Finding the Fourth Proportional to 509.04, 701.46 and 353.52

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Solution

The fourth proportional to 509.04, 701.46 and 353.52 is: 487.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.04 : 701.46 = 353.52 : x
  2. Step 2: Convert to fraction form
    509.04/701.46 = 353.52/x
  3. Step 3: Cross multiply
    509.04x = 701.46 × 353.52
  4. Step 4: Simplify right side
    509.04x = 247,980.14
  5. Step 5: Solve for x
    x = 247,980.14/509.04
  6. Step 6: Final answer
    x = 487.15

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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.