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Finding the Fourth Proportional to 876.24, 1,313.10 and 465.18

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Solution

The fourth proportional to 876.24, 1,313.10 and 465.18 is: 697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.24 : 1,313.10 = 465.18 : x
  2. Step 2: Convert to fraction form
    876.24/1,313.10 = 465.18/x
  3. Step 3: Cross multiply
    876.24x = 1,313.10 × 465.18
  4. Step 4: Simplify right side
    876.24x = 610,827.86
  5. Step 5: Solve for x
    x = 610,827.86/876.24
  6. Step 6: Final answer
    x = 697.10

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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.