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Finding the Fourth Proportional to 933.90, 1,289.05 and 654.21

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Solution

The fourth proportional to 933.90, 1,289.05 and 654.21 is: 903.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.90 : 1,289.05 = 654.21 : x
  2. Step 2: Convert to fraction form
    933.90/1,289.05 = 654.21/x
  3. Step 3: Cross multiply
    933.90x = 1,289.05 × 654.21
  4. Step 4: Simplify right side
    933.90x = 843,315.96
  5. Step 5: Solve for x
    x = 843,315.96/933.90
  6. Step 6: Final answer
    x = 903.00

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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.