Home / 1,400.13-2,099.60-705.93

Finding the Fourth Proportional to 1,400.13, 2,099.60 and 705.93

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Solution

The fourth proportional to 1,400.13, 2,099.60 and 705.93 is: 1,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.13 : 2,099.60 = 705.93 : x
  2. Step 2: Convert to fraction form
    1,400.13/2,099.60 = 705.93/x
  3. Step 3: Cross multiply
    1,400.13x = 2,099.60 × 705.93
  4. Step 4: Simplify right side
    1,400.13x = 1,482,167.10
  5. Step 5: Solve for x
    x = 1,482,167.10/1,400.13
  6. Step 6: Final answer
    x = 1,058.59

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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.