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Finding the Fourth Proportional to 877.96, 1,317.96 and 513.01

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Solution

The fourth proportional to 877.96, 1,317.96 and 513.01 is: 770.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.96 : 1,317.96 = 513.01 : x
  2. Step 2: Convert to fraction form
    877.96/1,317.96 = 513.01/x
  3. Step 3: Cross multiply
    877.96x = 1,317.96 × 513.01
  4. Step 4: Simplify right side
    877.96x = 676,128.31
  5. Step 5: Solve for x
    x = 676,128.31/877.96
  6. Step 6: Final answer
    x = 770.11

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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.