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Finding the Fourth Proportional to 877.87, 1,317.68 and 631.36

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Solution

The fourth proportional to 877.87, 1,317.68 and 631.36 is: 947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.87 : 1,317.68 = 631.36 : x
  2. Step 2: Convert to fraction form
    877.87/1,317.68 = 631.36/x
  3. Step 3: Cross multiply
    877.87x = 1,317.68 × 631.36
  4. Step 4: Simplify right side
    877.87x = 831,930.44
  5. Step 5: Solve for x
    x = 831,930.44/877.87
  6. Step 6: Final answer
    x = 947.67

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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.