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Finding the Fourth Proportional to 929.81, 1,283.14 and 515.81

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Solution

The fourth proportional to 929.81, 1,283.14 and 515.81 is: 711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.81 : 1,283.14 = 515.81 : x
  2. Step 2: Convert to fraction form
    929.81/1,283.14 = 515.81/x
  3. Step 3: Cross multiply
    929.81x = 1,283.14 × 515.81
  4. Step 4: Simplify right side
    929.81x = 661,860.30
  5. Step 5: Solve for x
    x = 661,860.30/929.81
  6. Step 6: Final answer
    x = 711.82

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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.