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Finding the Fourth Proportional to 933.92, 1,285.98 and 846.02

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Solution

The fourth proportional to 933.92, 1,285.98 and 846.02 is: 1,164.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.92 : 1,285.98 = 846.02 : x
  2. Step 2: Convert to fraction form
    933.92/1,285.98 = 846.02/x
  3. Step 3: Cross multiply
    933.92x = 1,285.98 × 846.02
  4. Step 4: Simplify right side
    933.92x = 1,087,964.80
  5. Step 5: Solve for x
    x = 1,087,964.80/933.92
  6. Step 6: Final answer
    x = 1,164.94

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1.5x scale

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.