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Finding the Fourth Proportional to 736.51, 1,014.67 and 515.11

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Solution

The fourth proportional to 736.51, 1,014.67 and 515.11 is: 709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.51 : 1,014.67 = 515.11 : x
  2. Step 2: Convert to fraction form
    736.51/1,014.67 = 515.11/x
  3. Step 3: Cross multiply
    736.51x = 1,014.67 × 515.11
  4. Step 4: Simplify right side
    736.51x = 522,666.66
  5. Step 5: Solve for x
    x = 522,666.66/736.51
  6. Step 6: Final answer
    x = 709.65

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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.