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Finding the Fourth Proportional to 409.48, 611.65 and 341.07

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Solution

The fourth proportional to 409.48, 611.65 and 341.07 is: 509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.48 : 611.65 = 341.07 : x
  2. Step 2: Convert to fraction form
    409.48/611.65 = 341.07/x
  3. Step 3: Cross multiply
    409.48x = 611.65 × 341.07
  4. Step 4: Simplify right side
    409.48x = 208,615.47
  5. Step 5: Solve for x
    x = 208,615.47/409.48
  6. Step 6: Final answer
    x = 509.46

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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.