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Finding the Fourth Proportional to 875.23, 1,313.30 and 412.77

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Solution

The fourth proportional to 875.23, 1,313.30 and 412.77 is: 619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.23 : 1,313.30 = 412.77 : x
  2. Step 2: Convert to fraction form
    875.23/1,313.30 = 412.77/x
  3. Step 3: Cross multiply
    875.23x = 1,313.30 × 412.77
  4. Step 4: Simplify right side
    875.23x = 542,087.09
  5. Step 5: Solve for x
    x = 542,087.09/875.23
  6. Step 6: Final answer
    x = 619.37

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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.