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Finding the Fourth Proportional to 781.32, 1,078.18 and 466.94

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Solution

The fourth proportional to 781.32, 1,078.18 and 466.94 is: 644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.32 : 1,078.18 = 466.94 : x
  2. Step 2: Convert to fraction form
    781.32/1,078.18 = 466.94/x
  3. Step 3: Cross multiply
    781.32x = 1,078.18 × 466.94
  4. Step 4: Simplify right side
    781.32x = 503,445.37
  5. Step 5: Solve for x
    x = 503,445.37/781.32
  6. Step 6: Final answer
    x = 644.35

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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.