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Finding the Fourth Proportional to 738.48, 1,019.40 and 443.82

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Solution

The fourth proportional to 738.48, 1,019.40 and 443.82 is: 612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.48 : 1,019.40 = 443.82 : x
  2. Step 2: Convert to fraction form
    738.48/1,019.40 = 443.82/x
  3. Step 3: Cross multiply
    738.48x = 1,019.40 × 443.82
  4. Step 4: Simplify right side
    738.48x = 452,430.11
  5. Step 5: Solve for x
    x = 452,430.11/738.48
  6. Step 6: Final answer
    x = 612.65

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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.