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Finding the Fourth Proportional to 983.02, 1,473.98 and 434.92

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Solution

The fourth proportional to 983.02, 1,473.98 and 434.92 is: 652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.02 : 1,473.98 = 434.92 : x
  2. Step 2: Convert to fraction form
    983.02/1,473.98 = 434.92/x
  3. Step 3: Cross multiply
    983.02x = 1,473.98 × 434.92
  4. Step 4: Simplify right side
    983.02x = 641,063.38
  5. Step 5: Solve for x
    x = 641,063.38/983.02
  6. Step 6: Final answer
    x = 652.14

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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.