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Finding the Fourth Proportional to 1,397.05, 2,095.17 and 703.18

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Solution

The fourth proportional to 1,397.05, 2,095.17 and 703.18 is: 1,054.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.05 : 2,095.17 = 703.18 : x
  2. Step 2: Convert to fraction form
    1,397.05/2,095.17 = 703.18/x
  3. Step 3: Cross multiply
    1,397.05x = 2,095.17 × 703.18
  4. Step 4: Simplify right side
    1,397.05x = 1,473,281.62
  5. Step 5: Solve for x
    x = 1,473,281.62/1,397.05
  6. Step 6: Final answer
    x = 1,054.57

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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.