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Finding the Fourth Proportional to 876.49, 1,316.56 and 511.99

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Solution

The fourth proportional to 876.49, 1,316.56 and 511.99 is: 769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.49 : 1,316.56 = 511.99 : x
  2. Step 2: Convert to fraction form
    876.49/1,316.56 = 511.99/x
  3. Step 3: Cross multiply
    876.49x = 1,316.56 × 511.99
  4. Step 4: Simplify right side
    876.49x = 674,065.55
  5. Step 5: Solve for x
    x = 674,065.55/876.49
  6. Step 6: Final answer
    x = 769.05

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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.