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Finding the Fourth Proportional to 738.45, 1,019.64 and 552.75

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Solution

The fourth proportional to 738.45, 1,019.64 and 552.75 is: 763.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.45 : 1,019.64 = 552.75 : x
  2. Step 2: Convert to fraction form
    738.45/1,019.64 = 552.75/x
  3. Step 3: Cross multiply
    738.45x = 1,019.64 × 552.75
  4. Step 4: Simplify right side
    738.45x = 563,606.01
  5. Step 5: Solve for x
    x = 563,606.01/738.45
  6. Step 6: Final answer
    x = 763.23

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Half scale
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Double scale
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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.