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Finding the Fourth Proportional to 1,407.47, 2,108.03 and 714.33

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Solution

The fourth proportional to 1,407.47, 2,108.03 and 714.33 is: 1,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.47 : 2,108.03 = 714.33 : x
  2. Step 2: Convert to fraction form
    1,407.47/2,108.03 = 714.33/x
  3. Step 3: Cross multiply
    1,407.47x = 2,108.03 × 714.33
  4. Step 4: Simplify right side
    1,407.47x = 1,505,825.50
  5. Step 5: Solve for x
    x = 1,505,825.50/1,407.47
  6. Step 6: Final answer
    x = 1,069.88

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1.5x scale

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.