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Finding the Fourth Proportional to 1,397.08, 2,095.08 and 703.36

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Solution

The fourth proportional to 1,397.08, 2,095.08 and 703.36 is: 1,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.08 : 2,095.08 = 703.36 : x
  2. Step 2: Convert to fraction form
    1,397.08/2,095.08 = 703.36/x
  3. Step 3: Cross multiply
    1,397.08x = 2,095.08 × 703.36
  4. Step 4: Simplify right side
    1,397.08x = 1,473,595.47
  5. Step 5: Solve for x
    x = 1,473,595.47/1,397.08
  6. Step 6: Final answer
    x = 1,054.77

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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.