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Finding the Fourth Proportional to 810.35, 1,214.67 and 462.94

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Solution

The fourth proportional to 810.35, 1,214.67 and 462.94 is: 693.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.35 : 1,214.67 = 462.94 : x
  2. Step 2: Convert to fraction form
    810.35/1,214.67 = 462.94/x
  3. Step 3: Cross multiply
    810.35x = 1,214.67 × 462.94
  4. Step 4: Simplify right side
    810.35x = 562,319.33
  5. Step 5: Solve for x
    x = 562,319.33/810.35
  6. Step 6: Final answer
    x = 693.92

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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.