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Finding the Fourth Proportional to 730.46, 1,089.21 and 644.12

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Solution

The fourth proportional to 730.46, 1,089.21 and 644.12 is: 960.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.46 : 1,089.21 = 644.12 : x
  2. Step 2: Convert to fraction form
    730.46/1,089.21 = 644.12/x
  3. Step 3: Cross multiply
    730.46x = 1,089.21 × 644.12
  4. Step 4: Simplify right side
    730.46x = 701,581.95
  5. Step 5: Solve for x
    x = 701,581.95/730.46
  6. Step 6: Final answer
    x = 960.47

Related Problems

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.