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Finding the Fourth Proportional to 1,344.69, 2,017.08 and 695.07

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Solution

The fourth proportional to 1,344.69, 2,017.08 and 695.07 is: 1,042.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.69 : 2,017.08 = 695.07 : x
  2. Step 2: Convert to fraction form
    1,344.69/2,017.08 = 695.07/x
  3. Step 3: Cross multiply
    1,344.69x = 2,017.08 × 695.07
  4. Step 4: Simplify right side
    1,344.69x = 1,402,011.80
  5. Step 5: Solve for x
    x = 1,402,011.80/1,344.69
  6. Step 6: Final answer
    x = 1,042.63

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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.