Home / 1,125.19-1,688.31-431.63

Finding the Fourth Proportional to 1,125.19, 1,688.31 and 431.63

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Solution

The fourth proportional to 1,125.19, 1,688.31 and 431.63 is: 647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.19 : 1,688.31 = 431.63 : x
  2. Step 2: Convert to fraction form
    1,125.19/1,688.31 = 431.63/x
  3. Step 3: Cross multiply
    1,125.19x = 1,688.31 × 431.63
  4. Step 4: Simplify right side
    1,125.19x = 728,725.25
  5. Step 5: Solve for x
    x = 728,725.25/1,125.19
  6. Step 6: Final answer
    x = 647.65

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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.