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Finding the Fourth Proportional to 561.51, 842.80 and 405.49

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Solution

The fourth proportional to 561.51, 842.80 and 405.49 is: 608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.51 : 842.80 = 405.49 : x
  2. Step 2: Convert to fraction form
    561.51/842.80 = 405.49/x
  3. Step 3: Cross multiply
    561.51x = 842.80 × 405.49
  4. Step 4: Simplify right side
    561.51x = 341,746.97
  5. Step 5: Solve for x
    x = 341,746.97/561.51
  6. Step 6: Final answer
    x = 608.62

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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.