Home / 1,434.19-2,151.32-497.20

Finding the Fourth Proportional to 1,434.19, 2,151.32 and 497.20

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Solution

The fourth proportional to 1,434.19, 2,151.32 and 497.20 is: 745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.19 : 2,151.32 = 497.20 : x
  2. Step 2: Convert to fraction form
    1,434.19/2,151.32 = 497.20/x
  3. Step 3: Cross multiply
    1,434.19x = 2,151.32 × 497.20
  4. Step 4: Simplify right side
    1,434.19x = 1,069,623.06
  5. Step 5: Solve for x
    x = 1,069,623.06/1,434.19
  6. Step 6: Final answer
    x = 745.81

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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.