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Finding the Fourth Proportional to 983.10, 1,474.89 and 469.98

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Solution

The fourth proportional to 983.10, 1,474.89 and 469.98 is: 705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.10 : 1,474.89 = 469.98 : x
  2. Step 2: Convert to fraction form
    983.10/1,474.89 = 469.98/x
  3. Step 3: Cross multiply
    983.10x = 1,474.89 × 469.98
  4. Step 4: Simplify right side
    983.10x = 693,168.80
  5. Step 5: Solve for x
    x = 693,168.80/983.10
  6. Step 6: Final answer
    x = 705.08

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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.