Home / 1,407.43-2,111.40-705.01

Finding the Fourth Proportional to 1,407.43, 2,111.40 and 705.01

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Solution

The fourth proportional to 1,407.43, 2,111.40 and 705.01 is: 1,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.43 : 2,111.40 = 705.01 : x
  2. Step 2: Convert to fraction form
    1,407.43/2,111.40 = 705.01/x
  3. Step 3: Cross multiply
    1,407.43x = 2,111.40 × 705.01
  4. Step 4: Simplify right side
    1,407.43x = 1,488,547.56
  5. Step 5: Solve for x
    x = 1,488,547.56/1,407.43
  6. Step 6: Final answer
    x = 1,057.64

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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.