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Finding the Fourth Proportional to 929.09, 1,282.13 and 515.09

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Solution

The fourth proportional to 929.09, 1,282.13 and 515.09 is: 710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.09 : 1,282.13 = 515.09 : x
  2. Step 2: Convert to fraction form
    929.09/1,282.13 = 515.09/x
  3. Step 3: Cross multiply
    929.09x = 1,282.13 × 515.09
  4. Step 4: Simplify right side
    929.09x = 660,409.77
  5. Step 5: Solve for x
    x = 660,409.77/929.09
  6. Step 6: Final answer
    x = 710.81

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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.