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Finding the Fourth Proportional to 1,026.78, 1,539.66 and 564.42

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Solution

The fourth proportional to 1,026.78, 1,539.66 and 564.42 is: 846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.78 : 1,539.66 = 564.42 : x
  2. Step 2: Convert to fraction form
    1,026.78/1,539.66 = 564.42/x
  3. Step 3: Cross multiply
    1,026.78x = 1,539.66 × 564.42
  4. Step 4: Simplify right side
    1,026.78x = 869,014.90
  5. Step 5: Solve for x
    x = 869,014.90/1,026.78
  6. Step 6: Final answer
    x = 846.35

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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.