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Finding the Fourth Proportional to 745.15, 1,115.96 and 397.62

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Solution

The fourth proportional to 745.15, 1,115.96 and 397.62 is: 595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.15 : 1,115.96 = 397.62 : x
  2. Step 2: Convert to fraction form
    745.15/1,115.96 = 397.62/x
  3. Step 3: Cross multiply
    745.15x = 1,115.96 × 397.62
  4. Step 4: Simplify right side
    745.15x = 443,728.02
  5. Step 5: Solve for x
    x = 443,728.02/745.15
  6. Step 6: Final answer
    x = 595.49

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Half scale
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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.