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Finding the Fourth Proportional to 810.64, 1,119.06 and 615.04

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Solution

The fourth proportional to 810.64, 1,119.06 and 615.04 is: 849.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.64 : 1,119.06 = 615.04 : x
  2. Step 2: Convert to fraction form
    810.64/1,119.06 = 615.04/x
  3. Step 3: Cross multiply
    810.64x = 1,119.06 × 615.04
  4. Step 4: Simplify right side
    810.64x = 688,266.66
  5. Step 5: Solve for x
    x = 688,266.66/810.64
  6. Step 6: Final answer
    x = 849.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.