Home / 1,430.14-2,145.36-456.02

Finding the Fourth Proportional to 1,430.14, 2,145.36 and 456.02

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Solution

The fourth proportional to 1,430.14, 2,145.36 and 456.02 is: 684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.14 : 2,145.36 = 456.02 : x
  2. Step 2: Convert to fraction form
    1,430.14/2,145.36 = 456.02/x
  3. Step 3: Cross multiply
    1,430.14x = 2,145.36 × 456.02
  4. Step 4: Simplify right side
    1,430.14x = 978,316.34
  5. Step 5: Solve for x
    x = 978,316.34/1,430.14
  6. Step 6: Final answer
    x = 684.07

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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.