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Finding the Fourth Proportional to 561.82, 845.76 and 505.31

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Solution

The fourth proportional to 561.82, 845.76 and 505.31 is: 760.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.82 : 845.76 = 505.31 : x
  2. Step 2: Convert to fraction form
    561.82/845.76 = 505.31/x
  3. Step 3: Cross multiply
    561.82x = 845.76 × 505.31
  4. Step 4: Simplify right side
    561.82x = 427,368.45
  5. Step 5: Solve for x
    x = 427,368.45/561.82
  6. Step 6: Final answer
    x = 760.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.