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Finding the Fourth Proportional to 875.87, 1,313.10 and 356.12

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Solution

The fourth proportional to 875.87, 1,313.10 and 356.12 is: 533.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.87 : 1,313.10 = 356.12 : x
  2. Step 2: Convert to fraction form
    875.87/1,313.10 = 356.12/x
  3. Step 3: Cross multiply
    875.87x = 1,313.10 × 356.12
  4. Step 4: Simplify right side
    875.87x = 467,619.53
  5. Step 5: Solve for x
    x = 467,619.53/875.87
  6. Step 6: Final answer
    x = 533.89

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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.