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Finding the Fourth Proportional to 983.04, 1,474.58 and 333.77

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Solution

The fourth proportional to 983.04, 1,474.58 and 333.77 is: 500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.04 : 1,474.58 = 333.77 : x
  2. Step 2: Convert to fraction form
    983.04/1,474.58 = 333.77/x
  3. Step 3: Cross multiply
    983.04x = 1,474.58 × 333.77
  4. Step 4: Simplify right side
    983.04x = 492,161.52
  5. Step 5: Solve for x
    x = 492,161.52/983.04
  6. Step 6: Final answer
    x = 500.65

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Double scale
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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.