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Finding the Fourth Proportional to 960.50, 1,439.60 and 497.58

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Solution

The fourth proportional to 960.50, 1,439.60 and 497.58 is: 745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.50 : 1,439.60 = 497.58 : x
  2. Step 2: Convert to fraction form
    960.50/1,439.60 = 497.58/x
  3. Step 3: Cross multiply
    960.50x = 1,439.60 × 497.58
  4. Step 4: Simplify right side
    960.50x = 716,313.68
  5. Step 5: Solve for x
    x = 716,313.68/960.50
  6. Step 6: Final answer
    x = 745.78

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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.