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Finding the Fourth Proportional to 933.81, 1,400.90 and 317.49

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Solution

The fourth proportional to 933.81, 1,400.90 and 317.49 is: 476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.81 : 1,400.90 = 317.49 : x
  2. Step 2: Convert to fraction form
    933.81/1,400.90 = 317.49/x
  3. Step 3: Cross multiply
    933.81x = 1,400.90 × 317.49
  4. Step 4: Simplify right side
    933.81x = 444,771.74
  5. Step 5: Solve for x
    x = 444,771.74/933.81
  6. Step 6: Final answer
    x = 476.30

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1.5x scale

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.