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Finding the Fourth Proportional to 732.94, 1,011.21 and 512.01

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Solution

The fourth proportional to 732.94, 1,011.21 and 512.01 is: 706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.94 : 1,011.21 = 512.01 : x
  2. Step 2: Convert to fraction form
    732.94/1,011.21 = 512.01/x
  3. Step 3: Cross multiply
    732.94x = 1,011.21 × 512.01
  4. Step 4: Simplify right side
    732.94x = 517,751.55
  5. Step 5: Solve for x
    x = 517,751.55/732.94
  6. Step 6: Final answer
    x = 706.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.