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Finding the Fourth Proportional to 935.72, 1,402.10 and 544.74

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Solution

The fourth proportional to 935.72, 1,402.10 and 544.74 is: 816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.72 : 1,402.10 = 544.74 : x
  2. Step 2: Convert to fraction form
    935.72/1,402.10 = 544.74/x
  3. Step 3: Cross multiply
    935.72x = 1,402.10 × 544.74
  4. Step 4: Simplify right side
    935.72x = 763,777.08
  5. Step 5: Solve for x
    x = 763,777.08/935.72
  6. Step 6: Final answer
    x = 816.25

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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.