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Finding the Fourth Proportional to 738.40, 1,105.62 and 412.84

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Solution

The fourth proportional to 738.40, 1,105.62 and 412.84 is: 618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.40 : 1,105.62 = 412.84 : x
  2. Step 2: Convert to fraction form
    738.40/1,105.62 = 412.84/x
  3. Step 3: Cross multiply
    738.40x = 1,105.62 × 412.84
  4. Step 4: Simplify right side
    738.40x = 456,444.16
  5. Step 5: Solve for x
    x = 456,444.16/738.40
  6. Step 6: Final answer
    x = 618.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.