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Finding the Fourth Proportional to 738.40, 1,017.84 and 552.64

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Solution

The fourth proportional to 738.40, 1,017.84 and 552.64 is: 761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.40 : 1,017.84 = 552.64 : x
  2. Step 2: Convert to fraction form
    738.40/1,017.84 = 552.64/x
  3. Step 3: Cross multiply
    738.40x = 1,017.84 × 552.64
  4. Step 4: Simplify right side
    738.40x = 562,499.10
  5. Step 5: Solve for x
    x = 562,499.10/738.40
  6. Step 6: Final answer
    x = 761.78

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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.