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Finding the Fourth Proportional to 584.51, 873.36 and 442.86

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Solution

The fourth proportional to 584.51, 873.36 and 442.86 is: 661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.51 : 873.36 = 442.86 : x
  2. Step 2: Convert to fraction form
    584.51/873.36 = 442.86/x
  3. Step 3: Cross multiply
    584.51x = 873.36 × 442.86
  4. Step 4: Simplify right side
    584.51x = 386,771.84
  5. Step 5: Solve for x
    x = 386,771.84/584.51
  6. Step 6: Final answer
    x = 661.71

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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.