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Finding the Fourth Proportional to 1,000.05, 1,381.30 and 706.62

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Solution

The fourth proportional to 1,000.05, 1,381.30 and 706.62 is: 976.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.05 : 1,381.30 = 706.62 : x
  2. Step 2: Convert to fraction form
    1,000.05/1,381.30 = 706.62/x
  3. Step 3: Cross multiply
    1,000.05x = 1,381.30 × 706.62
  4. Step 4: Simplify right side
    1,000.05x = 976,061.59
  5. Step 5: Solve for x
    x = 976,061.59/1,000.05
  6. Step 6: Final answer
    x = 976.02

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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.