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Finding the Fourth Proportional to 875.76, 1,312.34 and 485.29

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Solution

The fourth proportional to 875.76, 1,312.34 and 485.29 is: 727.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.76 : 1,312.34 = 485.29 : x
  2. Step 2: Convert to fraction form
    875.76/1,312.34 = 485.29/x
  3. Step 3: Cross multiply
    875.76x = 1,312.34 × 485.29
  4. Step 4: Simplify right side
    875.76x = 636,858.92
  5. Step 5: Solve for x
    x = 636,858.92/875.76
  6. Step 6: Final answer
    x = 727.21

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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.