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Finding the Fourth Proportional to 775.98, 1,070.33 and 461.00

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Solution

The fourth proportional to 775.98, 1,070.33 and 461.00 is: 635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.98 : 1,070.33 = 461.00 : x
  2. Step 2: Convert to fraction form
    775.98/1,070.33 = 461.00/x
  3. Step 3: Cross multiply
    775.98x = 1,070.33 × 461.00
  4. Step 4: Simplify right side
    775.98x = 493,422.50
  5. Step 5: Solve for x
    x = 493,422.50/775.98
  6. Step 6: Final answer
    x = 635.87

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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.