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Finding the Fourth Proportional to 1,051.28, 1,577.34 and 564.20

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Solution

The fourth proportional to 1,051.28, 1,577.34 and 564.20 is: 846.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.28 : 1,577.34 = 564.20 : x
  2. Step 2: Convert to fraction form
    1,051.28/1,577.34 = 564.20/x
  3. Step 3: Cross multiply
    1,051.28x = 1,577.34 × 564.20
  4. Step 4: Simplify right side
    1,051.28x = 889,935.23
  5. Step 5: Solve for x
    x = 889,935.23/1,051.28
  6. Step 6: Final answer
    x = 846.53

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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.