Home / 1,406.52-2,110.14-432.66

Finding the Fourth Proportional to 1,406.52, 2,110.14 and 432.66

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Solution

The fourth proportional to 1,406.52, 2,110.14 and 432.66 is: 649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.52 : 2,110.14 = 432.66 : x
  2. Step 2: Convert to fraction form
    1,406.52/2,110.14 = 432.66/x
  3. Step 3: Cross multiply
    1,406.52x = 2,110.14 × 432.66
  4. Step 4: Simplify right side
    1,406.52x = 912,973.17
  5. Step 5: Solve for x
    x = 912,973.17/1,406.52
  6. Step 6: Final answer
    x = 649.10

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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.