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Finding the Fourth Proportional to 983.95, 1,475.93 and 334.68

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Solution

The fourth proportional to 983.95, 1,475.93 and 334.68 is: 502.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.95 : 1,475.93 = 334.68 : x
  2. Step 2: Convert to fraction form
    983.95/1,475.93 = 334.68/x
  3. Step 3: Cross multiply
    983.95x = 1,475.93 × 334.68
  4. Step 4: Simplify right side
    983.95x = 493,964.25
  5. Step 5: Solve for x
    x = 493,964.25/983.95
  6. Step 6: Final answer
    x = 502.02

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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.