Home / 1,124.14-1,686.21-507.51

Finding the Fourth Proportional to 1,124.14, 1,686.21 and 507.51

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Solution

The fourth proportional to 1,124.14, 1,686.21 and 507.51 is: 761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.14 : 1,686.21 = 507.51 : x
  2. Step 2: Convert to fraction form
    1,124.14/1,686.21 = 507.51/x
  3. Step 3: Cross multiply
    1,124.14x = 1,686.21 × 507.51
  4. Step 4: Simplify right side
    1,124.14x = 855,768.44
  5. Step 5: Solve for x
    x = 855,768.44/1,124.14
  6. Step 6: Final answer
    x = 761.27

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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.