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Finding the Fourth Proportional to 950.84, 1,312.16 and 552.58

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Solution

The fourth proportional to 950.84, 1,312.16 and 552.58 is: 762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.84 : 1,312.16 = 552.58 : x
  2. Step 2: Convert to fraction form
    950.84/1,312.16 = 552.58/x
  3. Step 3: Cross multiply
    950.84x = 1,312.16 × 552.58
  4. Step 4: Simplify right side
    950.84x = 725,073.37
  5. Step 5: Solve for x
    x = 725,073.37/950.84
  6. Step 6: Final answer
    x = 762.56

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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.