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Finding the Fourth Proportional to 950.00, 1,312.20 and 728.46

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Solution

The fourth proportional to 950.00, 1,312.20 and 728.46 is: 1,006.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.00 : 1,312.20 = 728.46 : x
  2. Step 2: Convert to fraction form
    950.00/1,312.20 = 728.46/x
  3. Step 3: Cross multiply
    950.00x = 1,312.20 × 728.46
  4. Step 4: Simplify right side
    950.00x = 955,885.21
  5. Step 5: Solve for x
    x = 955,885.21/950.00
  6. Step 6: Final answer
    x = 1,006.20

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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.