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Finding the Fourth Proportional to 935.55, 1,402.92 and 719.28

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Solution

The fourth proportional to 935.55, 1,402.92 and 719.28 is: 1,078.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.55 : 1,402.92 = 719.28 : x
  2. Step 2: Convert to fraction form
    935.55/1,402.92 = 719.28/x
  3. Step 3: Cross multiply
    935.55x = 1,402.92 × 719.28
  4. Step 4: Simplify right side
    935.55x = 1,009,092.30
  5. Step 5: Solve for x
    x = 1,009,092.30/935.55
  6. Step 6: Final answer
    x = 1,078.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.