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Finding the Fourth Proportional to 745.54, 1,116.87 and 421.54

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Solution

The fourth proportional to 745.54, 1,116.87 and 421.54 is: 631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.54 : 1,116.87 = 421.54 : x
  2. Step 2: Convert to fraction form
    745.54/1,116.87 = 421.54/x
  3. Step 3: Cross multiply
    745.54x = 1,116.87 × 421.54
  4. Step 4: Simplify right side
    745.54x = 470,805.38
  5. Step 5: Solve for x
    x = 470,805.38/745.54
  6. Step 6: Final answer
    x = 631.50

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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.