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Finding the Fourth Proportional to 775.54, 1,070.60 and 540.28

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Solution

The fourth proportional to 775.54, 1,070.60 and 540.28 is: 745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.54 : 1,070.60 = 540.28 : x
  2. Step 2: Convert to fraction form
    775.54/1,070.60 = 540.28/x
  3. Step 3: Cross multiply
    775.54x = 1,070.60 × 540.28
  4. Step 4: Simplify right side
    775.54x = 578,423.77
  5. Step 5: Solve for x
    x = 578,423.77/775.54
  6. Step 6: Final answer
    x = 745.83

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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.