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Finding the Fourth Proportional to 935.63, 1,402.98 and 545.77

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Solution

The fourth proportional to 935.63, 1,402.98 and 545.77 is: 818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.63 : 1,402.98 = 545.77 : x
  2. Step 2: Convert to fraction form
    935.63/1,402.98 = 545.77/x
  3. Step 3: Cross multiply
    935.63x = 1,402.98 × 545.77
  4. Step 4: Simplify right side
    935.63x = 765,704.39
  5. Step 5: Solve for x
    x = 765,704.39/935.63
  6. Step 6: Final answer
    x = 818.38

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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.