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Finding the Fourth Proportional to 810.53, 1,214.65 and 463.34

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Solution

The fourth proportional to 810.53, 1,214.65 and 463.34 is: 694.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.53 : 1,214.65 = 463.34 : x
  2. Step 2: Convert to fraction form
    810.53/1,214.65 = 463.34/x
  3. Step 3: Cross multiply
    810.53x = 1,214.65 × 463.34
  4. Step 4: Simplify right side
    810.53x = 562,799.55
  5. Step 5: Solve for x
    x = 562,799.55/810.53
  6. Step 6: Final answer
    x = 694.36

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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.