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Finding the Fourth Proportional to 1,145.13, 1,580.29 and 621.16

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Solution

The fourth proportional to 1,145.13, 1,580.29 and 621.16 is: 857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.13 : 1,580.29 = 621.16 : x
  2. Step 2: Convert to fraction form
    1,145.13/1,580.29 = 621.16/x
  3. Step 3: Cross multiply
    1,145.13x = 1,580.29 × 621.16
  4. Step 4: Simplify right side
    1,145.13x = 981,616.32
  5. Step 5: Solve for x
    x = 981,616.32/1,145.13
  6. Step 6: Final answer
    x = 857.21

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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.