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Finding the Fourth Proportional to 876.34, 1,313.15 and 465.37

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Solution

The fourth proportional to 876.34, 1,313.15 and 465.37 is: 697.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.34 : 1,313.15 = 465.37 : x
  2. Step 2: Convert to fraction form
    876.34/1,313.15 = 465.37/x
  3. Step 3: Cross multiply
    876.34x = 1,313.15 × 465.37
  4. Step 4: Simplify right side
    876.34x = 611,100.62
  5. Step 5: Solve for x
    x = 611,100.62/876.34
  6. Step 6: Final answer
    x = 697.33

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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.