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Finding the Fourth Proportional to 810.94, 1,215.85 and 536.20

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Solution

The fourth proportional to 810.94, 1,215.85 and 536.20 is: 803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.94 : 1,215.85 = 536.20 : x
  2. Step 2: Convert to fraction form
    810.94/1,215.85 = 536.20/x
  3. Step 3: Cross multiply
    810.94x = 1,215.85 × 536.20
  4. Step 4: Simplify right side
    810.94x = 651,941.81
  5. Step 5: Solve for x
    x = 651,941.81/810.94
  6. Step 6: Final answer
    x = 803.93

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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.