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Finding the Fourth Proportional to 960.01, 1,438.83 and 497.52

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Solution

The fourth proportional to 960.01, 1,438.83 and 497.52 is: 745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.01 : 1,438.83 = 497.52 : x
  2. Step 2: Convert to fraction form
    960.01/1,438.83 = 497.52/x
  3. Step 3: Cross multiply
    960.01x = 1,438.83 × 497.52
  4. Step 4: Simplify right side
    960.01x = 715,844.21
  5. Step 5: Solve for x
    x = 715,844.21/960.01
  6. Step 6: Final answer
    x = 745.67

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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.