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Finding the Fourth Proportional to 1,055.21, 1,456.28 and 583.15

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Solution

The fourth proportional to 1,055.21, 1,456.28 and 583.15 is: 804.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.21 : 1,456.28 = 583.15 : x
  2. Step 2: Convert to fraction form
    1,055.21/1,456.28 = 583.15/x
  3. Step 3: Cross multiply
    1,055.21x = 1,456.28 × 583.15
  4. Step 4: Simplify right side
    1,055.21x = 849,228.04
  5. Step 5: Solve for x
    x = 849,228.04/1,055.21
  6. Step 6: Final answer
    x = 804.79

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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.