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Finding the Fourth Proportional to 876.96, 1,312.20 and 787.05

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Solution

The fourth proportional to 876.96, 1,312.20 and 787.05 is: 1,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.96 : 1,312.20 = 787.05 : x
  2. Step 2: Convert to fraction form
    876.96/1,312.20 = 787.05/x
  3. Step 3: Cross multiply
    876.96x = 1,312.20 × 787.05
  4. Step 4: Simplify right side
    876.96x = 1,032,767.01
  5. Step 5: Solve for x
    x = 1,032,767.01/876.96
  6. Step 6: Final answer
    x = 1,177.67

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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.