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Finding the Fourth Proportional to 625.64, 933.86 and 580.58

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Solution

The fourth proportional to 625.64, 933.86 and 580.58 is: 866.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.64 : 933.86 = 580.58 : x
  2. Step 2: Convert to fraction form
    625.64/933.86 = 580.58/x
  3. Step 3: Cross multiply
    625.64x = 933.86 × 580.58
  4. Step 4: Simplify right side
    625.64x = 542,180.44
  5. Step 5: Solve for x
    x = 542,180.44/625.64
  6. Step 6: Final answer
    x = 866.60

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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.