Home / 1,430.91-2,146.37-457.10

Finding the Fourth Proportional to 1,430.91, 2,146.37 and 457.10

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Solution

The fourth proportional to 1,430.91, 2,146.37 and 457.10 is: 685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.91 : 2,146.37 = 457.10 : x
  2. Step 2: Convert to fraction form
    1,430.91/2,146.37 = 457.10/x
  3. Step 3: Cross multiply
    1,430.91x = 2,146.37 × 457.10
  4. Step 4: Simplify right side
    1,430.91x = 981,092.71
  5. Step 5: Solve for x
    x = 981,092.71/1,430.91
  6. Step 6: Final answer
    x = 685.64

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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.