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Finding the Fourth Proportional to 930.02, 1,395.30 and 582.80

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Solution

The fourth proportional to 930.02, 1,395.30 and 582.80 is: 874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.02 : 1,395.30 = 582.80 : x
  2. Step 2: Convert to fraction form
    930.02/1,395.30 = 582.80/x
  3. Step 3: Cross multiply
    930.02x = 1,395.30 × 582.80
  4. Step 4: Simplify right side
    930.02x = 813,180.84
  5. Step 5: Solve for x
    x = 813,180.84/930.02
  6. Step 6: Final answer
    x = 874.37

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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.