Home / 1,430.60-2,145.65-456.48

Finding the Fourth Proportional to 1,430.60, 2,145.65 and 456.48

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Solution

The fourth proportional to 1,430.60, 2,145.65 and 456.48 is: 684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.60 : 2,145.65 = 456.48 : x
  2. Step 2: Convert to fraction form
    1,430.60/2,145.65 = 456.48/x
  3. Step 3: Cross multiply
    1,430.60x = 2,145.65 × 456.48
  4. Step 4: Simplify right side
    1,430.60x = 979,444.03
  5. Step 5: Solve for x
    x = 979,444.03/1,430.60
  6. Step 6: Final answer
    x = 684.64

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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.