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Finding the Fourth Proportional to 1,162.51, 1,742.71 and 431.90

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Solution

The fourth proportional to 1,162.51, 1,742.71 and 431.90 is: 647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.51 : 1,742.71 = 431.90 : x
  2. Step 2: Convert to fraction form
    1,162.51/1,742.71 = 431.90/x
  3. Step 3: Cross multiply
    1,162.51x = 1,742.71 × 431.90
  4. Step 4: Simplify right side
    1,162.51x = 752,676.45
  5. Step 5: Solve for x
    x = 752,676.45/1,162.51
  6. Step 6: Final answer
    x = 647.46

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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.