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Finding the Fourth Proportional to 733.77, 1,012.10 and 512.64

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Solution

The fourth proportional to 733.77, 1,012.10 and 512.64 is: 707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.77 : 1,012.10 = 512.64 : x
  2. Step 2: Convert to fraction form
    733.77/1,012.10 = 512.64/x
  3. Step 3: Cross multiply
    733.77x = 1,012.10 × 512.64
  4. Step 4: Simplify right side
    733.77x = 518,840.38
  5. Step 5: Solve for x
    x = 518,840.38/733.77
  6. Step 6: Final answer
    x = 707.09

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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.