Home / 1,430.48-2,144.67-456.02

Finding the Fourth Proportional to 1,430.48, 2,144.67 and 456.02

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Solution

The fourth proportional to 1,430.48, 2,144.67 and 456.02 is: 683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.48 : 2,144.67 = 456.02 : x
  2. Step 2: Convert to fraction form
    1,430.48/2,144.67 = 456.02/x
  3. Step 3: Cross multiply
    1,430.48x = 2,144.67 × 456.02
  4. Step 4: Simplify right side
    1,430.48x = 978,012.41
  5. Step 5: Solve for x
    x = 978,012.41/1,430.48
  6. Step 6: Final answer
    x = 683.70

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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.