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Finding the Fourth Proportional to 745.14, 1,116.77 and 420.69

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Solution

The fourth proportional to 745.14, 1,116.77 and 420.69 is: 630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.14 : 1,116.77 = 420.69 : x
  2. Step 2: Convert to fraction form
    745.14/1,116.77 = 420.69/x
  3. Step 3: Cross multiply
    745.14x = 1,116.77 × 420.69
  4. Step 4: Simplify right side
    745.14x = 469,811.87
  5. Step 5: Solve for x
    x = 469,811.87/745.14
  6. Step 6: Final answer
    x = 630.50

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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.