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Finding the Fourth Proportional to 935.58, 1,291.65 and 831.78

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Solution

The fourth proportional to 935.58, 1,291.65 and 831.78 is: 1,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.58 : 1,291.65 = 831.78 : x
  2. Step 2: Convert to fraction form
    935.58/1,291.65 = 831.78/x
  3. Step 3: Cross multiply
    935.58x = 1,291.65 × 831.78
  4. Step 4: Simplify right side
    935.58x = 1,074,368.64
  5. Step 5: Solve for x
    x = 1,074,368.64/935.58
  6. Step 6: Final answer
    x = 1,148.35

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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.