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Finding the Fourth Proportional to 1,054.78, 1,582.17 and 477.52

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Solution

The fourth proportional to 1,054.78, 1,582.17 and 477.52 is: 716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.78 : 1,582.17 = 477.52 : x
  2. Step 2: Convert to fraction form
    1,054.78/1,582.17 = 477.52/x
  3. Step 3: Cross multiply
    1,054.78x = 1,582.17 × 477.52
  4. Step 4: Simplify right side
    1,054.78x = 755,517.82
  5. Step 5: Solve for x
    x = 755,517.82/1,054.78
  6. Step 6: Final answer
    x = 716.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.