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Finding the Fourth Proportional to 1,145.48, 1,580.78 and 621.52

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Solution

The fourth proportional to 1,145.48, 1,580.78 and 621.52 is: 857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.48 : 1,580.78 = 621.52 : x
  2. Step 2: Convert to fraction form
    1,145.48/1,580.78 = 621.52/x
  3. Step 3: Cross multiply
    1,145.48x = 1,580.78 × 621.52
  4. Step 4: Simplify right side
    1,145.48x = 982,483.99
  5. Step 5: Solve for x
    x = 982,483.99/1,145.48
  6. Step 6: Final answer
    x = 857.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.