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Finding the Fourth Proportional to 810.83, 1,214.30 and 463.11

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Solution

The fourth proportional to 810.83, 1,214.30 and 463.11 is: 693.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.83 : 1,214.30 = 463.11 : x
  2. Step 2: Convert to fraction form
    810.83/1,214.30 = 463.11/x
  3. Step 3: Cross multiply
    810.83x = 1,214.30 × 463.11
  4. Step 4: Simplify right side
    810.83x = 562,352.74
  5. Step 5: Solve for x
    x = 562,352.74/810.83
  6. Step 6: Final answer
    x = 693.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.