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Finding the Fourth Proportional to 580.30, 874.72 and 546.84

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Solution

The fourth proportional to 580.30, 874.72 and 546.84 is: 824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.30 : 874.72 = 546.84 : x
  2. Step 2: Convert to fraction form
    580.30/874.72 = 546.84/x
  3. Step 3: Cross multiply
    580.30x = 874.72 × 546.84
  4. Step 4: Simplify right side
    580.30x = 478,329.15
  5. Step 5: Solve for x
    x = 478,329.15/580.30
  6. Step 6: Final answer
    x = 824.28

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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.