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Finding the Fourth Proportional to 738.22, 1,019.64 and 552.54

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Solution

The fourth proportional to 738.22, 1,019.64 and 552.54 is: 763.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.22 : 1,019.64 = 552.54 : x
  2. Step 2: Convert to fraction form
    738.22/1,019.64 = 552.54/x
  3. Step 3: Cross multiply
    738.22x = 1,019.64 × 552.54
  4. Step 4: Simplify right side
    738.22x = 563,391.89
  5. Step 5: Solve for x
    x = 563,391.89/738.22
  6. Step 6: Final answer
    x = 763.18

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1.5x scale

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.