Home / 1,430.48-2,146.13-456.66

Finding the Fourth Proportional to 1,430.48, 2,146.13 and 456.66

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Solution

The fourth proportional to 1,430.48, 2,146.13 and 456.66 is: 685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.48 : 2,146.13 = 456.66 : x
  2. Step 2: Convert to fraction form
    1,430.48/2,146.13 = 456.66/x
  3. Step 3: Cross multiply
    1,430.48x = 2,146.13 × 456.66
  4. Step 4: Simplify right side
    1,430.48x = 980,052.87
  5. Step 5: Solve for x
    x = 980,052.87/1,430.48
  6. Step 6: Final answer
    x = 685.12

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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.