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Finding the Fourth Proportional to 743.84, 1,019.04 and 716.15

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Solution

The fourth proportional to 743.84, 1,019.04 and 716.15 is: 981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.84 : 1,019.04 = 716.15 : x
  2. Step 2: Convert to fraction form
    743.84/1,019.04 = 716.15/x
  3. Step 3: Cross multiply
    743.84x = 1,019.04 × 716.15
  4. Step 4: Simplify right side
    743.84x = 729,780.40
  5. Step 5: Solve for x
    x = 729,780.40/743.84
  6. Step 6: Final answer
    x = 981.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.