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Finding the Fourth Proportional to 580.88, 864.71 and 554.33

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Solution

The fourth proportional to 580.88, 864.71 and 554.33 is: 825.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.88 : 864.71 = 554.33 : x
  2. Step 2: Convert to fraction form
    580.88/864.71 = 554.33/x
  3. Step 3: Cross multiply
    580.88x = 864.71 × 554.33
  4. Step 4: Simplify right side
    580.88x = 479,327.60
  5. Step 5: Solve for x
    x = 479,327.60/580.88
  6. Step 6: Final answer
    x = 825.18

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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.