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Finding the Fourth Proportional to 743.80, 1,112.46 and 434.92

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Solution

The fourth proportional to 743.80, 1,112.46 and 434.92 is: 650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.80 : 1,112.46 = 434.92 : x
  2. Step 2: Convert to fraction form
    743.80/1,112.46 = 434.92/x
  3. Step 3: Cross multiply
    743.80x = 1,112.46 × 434.92
  4. Step 4: Simplify right side
    743.80x = 483,831.10
  5. Step 5: Solve for x
    x = 483,831.10/743.80
  6. Step 6: Final answer
    x = 650.49

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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.