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Finding the Fourth Proportional to 865.35, 1,298.36 and 402.77

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Solution

The fourth proportional to 865.35, 1,298.36 and 402.77 is: 604.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.35 : 1,298.36 = 402.77 : x
  2. Step 2: Convert to fraction form
    865.35/1,298.36 = 402.77/x
  3. Step 3: Cross multiply
    865.35x = 1,298.36 × 402.77
  4. Step 4: Simplify right side
    865.35x = 522,944.71
  5. Step 5: Solve for x
    x = 522,944.71/865.35
  6. Step 6: Final answer
    x = 604.32

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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.