Home / 1,124.21-1,686.42-431.45

Finding the Fourth Proportional to 1,124.21, 1,686.42 and 431.45

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Solution

The fourth proportional to 1,124.21, 1,686.42 and 431.45 is: 647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.21 : 1,686.42 = 431.45 : x
  2. Step 2: Convert to fraction form
    1,124.21/1,686.42 = 431.45/x
  3. Step 3: Cross multiply
    1,124.21x = 1,686.42 × 431.45
  4. Step 4: Simplify right side
    1,124.21x = 727,597.48
  5. Step 5: Solve for x
    x = 727,597.48/1,124.21
  6. Step 6: Final answer
    x = 647.21

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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.