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Finding the Fourth Proportional to 875.45, 1,312.01 and 327.08

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Solution

The fourth proportional to 875.45, 1,312.01 and 327.08 is: 490.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.45 : 1,312.01 = 327.08 : x
  2. Step 2: Convert to fraction form
    875.45/1,312.01 = 327.08/x
  3. Step 3: Cross multiply
    875.45x = 1,312.01 × 327.08
  4. Step 4: Simplify right side
    875.45x = 429,132.23
  5. Step 5: Solve for x
    x = 429,132.23/875.45
  6. Step 6: Final answer
    x = 490.18

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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.