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Finding the Fourth Proportional to 1,580.47, 2,370.71 and 484.69

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Solution

The fourth proportional to 1,580.47, 2,370.71 and 484.69 is: 727.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.47 : 2,370.71 = 484.69 : x
  2. Step 2: Convert to fraction form
    1,580.47/2,370.71 = 484.69/x
  3. Step 3: Cross multiply
    1,580.47x = 2,370.71 × 484.69
  4. Step 4: Simplify right side
    1,580.47x = 1,149,057.01
  5. Step 5: Solve for x
    x = 1,149,057.01/1,580.47
  6. Step 6: Final answer
    x = 727.04

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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.