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Finding the Fourth Proportional to 1,033.75, 1,426.95 and 684.55

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Solution

The fourth proportional to 1,033.75, 1,426.95 and 684.55 is: 944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.75 : 1,426.95 = 684.55 : x
  2. Step 2: Convert to fraction form
    1,033.75/1,426.95 = 684.55/x
  3. Step 3: Cross multiply
    1,033.75x = 1,426.95 × 684.55
  4. Step 4: Simplify right side
    1,033.75x = 976,808.07
  5. Step 5: Solve for x
    x = 976,808.07/1,033.75
  6. Step 6: Final answer
    x = 944.92

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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.