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Finding the Fourth Proportional to 580.74, 872.14 and 554.70

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Solution

The fourth proportional to 580.74, 872.14 and 554.70 is: 833.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.74 : 872.14 = 554.70 : x
  2. Step 2: Convert to fraction form
    580.74/872.14 = 554.70/x
  3. Step 3: Cross multiply
    580.74x = 872.14 × 554.70
  4. Step 4: Simplify right side
    580.74x = 483,776.06
  5. Step 5: Solve for x
    x = 483,776.06/580.74
  6. Step 6: Final answer
    x = 833.03

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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.