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Finding the Fourth Proportional to 582.51, 877.22 and 421.32

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Solution

The fourth proportional to 582.51, 877.22 and 421.32 is: 634.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.51 : 877.22 = 421.32 : x
  2. Step 2: Convert to fraction form
    582.51/877.22 = 421.32/x
  3. Step 3: Cross multiply
    582.51x = 877.22 × 421.32
  4. Step 4: Simplify right side
    582.51x = 369,588.22
  5. Step 5: Solve for x
    x = 369,588.22/582.51
  6. Step 6: Final answer
    x = 634.48

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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.