Home / 1,430.49-2,146.01-456.65

Finding the Fourth Proportional to 1,430.49, 2,146.01 and 456.65

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Solution

The fourth proportional to 1,430.49, 2,146.01 and 456.65 is: 685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.49 : 2,146.01 = 456.65 : x
  2. Step 2: Convert to fraction form
    1,430.49/2,146.01 = 456.65/x
  3. Step 3: Cross multiply
    1,430.49x = 2,146.01 × 456.65
  4. Step 4: Simplify right side
    1,430.49x = 979,963.59
  5. Step 5: Solve for x
    x = 979,963.59/1,430.49
  6. Step 6: Final answer
    x = 685.06

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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.