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Finding the Fourth Proportional to 1,145.00, 1,580.10 and 621.03

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Solution

The fourth proportional to 1,145.00, 1,580.10 and 621.03 is: 857.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.00 : 1,580.10 = 621.03 : x
  2. Step 2: Convert to fraction form
    1,145.00/1,580.10 = 621.03/x
  3. Step 3: Cross multiply
    1,145.00x = 1,580.10 × 621.03
  4. Step 4: Simplify right side
    1,145.00x = 981,289.50
  5. Step 5: Solve for x
    x = 981,289.50/1,145.00
  6. Step 6: Final answer
    x = 857.02

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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.