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Finding the Fourth Proportional to 935.66, 1,291.18 and 516.01

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Solution

The fourth proportional to 935.66, 1,291.18 and 516.01 is: 712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.66 : 1,291.18 = 516.01 : x
  2. Step 2: Convert to fraction form
    935.66/1,291.18 = 516.01/x
  3. Step 3: Cross multiply
    935.66x = 1,291.18 × 516.01
  4. Step 4: Simplify right side
    935.66x = 666,252.76
  5. Step 5: Solve for x
    x = 666,252.76/935.66
  6. Step 6: Final answer
    x = 712.07

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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.