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Finding the Fourth Proportional to 875.33, 1,313.52 and 442.53

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Solution

The fourth proportional to 875.33, 1,313.52 and 442.53 is: 664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.33 : 1,313.52 = 442.53 : x
  2. Step 2: Convert to fraction form
    875.33/1,313.52 = 442.53/x
  3. Step 3: Cross multiply
    875.33x = 1,313.52 × 442.53
  4. Step 4: Simplify right side
    875.33x = 581,269.79
  5. Step 5: Solve for x
    x = 581,269.79/875.33
  6. Step 6: Final answer
    x = 664.06

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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.