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Finding the Fourth Proportional to 930.40, 1,282.99 and 650.53

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Solution

The fourth proportional to 930.40, 1,282.99 and 650.53 is: 897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.40 : 1,282.99 = 650.53 : x
  2. Step 2: Convert to fraction form
    930.40/1,282.99 = 650.53/x
  3. Step 3: Cross multiply
    930.40x = 1,282.99 × 650.53
  4. Step 4: Simplify right side
    930.40x = 834,623.48
  5. Step 5: Solve for x
    x = 834,623.48/930.40
  6. Step 6: Final answer
    x = 897.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.