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Finding the Fourth Proportional to 810.34, 1,209.61 and 750.16

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Solution

The fourth proportional to 810.34, 1,209.61 and 750.16 is: 1,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.34 : 1,209.61 = 750.16 : x
  2. Step 2: Convert to fraction form
    810.34/1,209.61 = 750.16/x
  3. Step 3: Cross multiply
    810.34x = 1,209.61 × 750.16
  4. Step 4: Simplify right side
    810.34x = 907,401.04
  5. Step 5: Solve for x
    x = 907,401.04/810.34
  6. Step 6: Final answer
    x = 1,119.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.