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Finding the Fourth Proportional to 875.12, 1,313.24 and 490.64

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Solution

The fourth proportional to 875.12, 1,313.24 and 490.64 is: 736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.12 : 1,313.24 = 490.64 : x
  2. Step 2: Convert to fraction form
    875.12/1,313.24 = 490.64/x
  3. Step 3: Cross multiply
    875.12x = 1,313.24 × 490.64
  4. Step 4: Simplify right side
    875.12x = 644,328.07
  5. Step 5: Solve for x
    x = 644,328.07/875.12
  6. Step 6: Final answer
    x = 736.27

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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.