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Finding the Fourth Proportional to 749.94, 1,123.46 and 646.20

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Solution

The fourth proportional to 749.94, 1,123.46 and 646.20 is: 968.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.94 : 1,123.46 = 646.20 : x
  2. Step 2: Convert to fraction form
    749.94/1,123.46 = 646.20/x
  3. Step 3: Cross multiply
    749.94x = 1,123.46 × 646.20
  4. Step 4: Simplify right side
    749.94x = 725,979.85
  5. Step 5: Solve for x
    x = 725,979.85/749.94
  6. Step 6: Final answer
    x = 968.05

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Double scale
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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.