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Finding the Fourth Proportional to 935.35, 1,404.07 and 545.81

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Solution

The fourth proportional to 935.35, 1,404.07 and 545.81 is: 819.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.35 : 1,404.07 = 545.81 : x
  2. Step 2: Convert to fraction form
    935.35/1,404.07 = 545.81/x
  3. Step 3: Cross multiply
    935.35x = 1,404.07 × 545.81
  4. Step 4: Simplify right side
    935.35x = 766,347.06
  5. Step 5: Solve for x
    x = 766,347.06/935.35
  6. Step 6: Final answer
    x = 819.32

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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.