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Finding the Fourth Proportional to 1,407.08, 1,944.03 and 1,199.45

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Solution

The fourth proportional to 1,407.08, 1,944.03 and 1,199.45 is: 1,657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.08 : 1,944.03 = 1,199.45 : x
  2. Step 2: Convert to fraction form
    1,407.08/1,944.03 = 1,199.45/x
  3. Step 3: Cross multiply
    1,407.08x = 1,944.03 × 1,199.45
  4. Step 4: Simplify right side
    1,407.08x = 2,331,776.14
  5. Step 5: Solve for x
    x = 2,331,776.14/1,407.08
  6. Step 6: Final answer
    x = 1,657.17

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1.5x scale

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.