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Finding the Fourth Proportional to 875.09, 1,312.64 and 821.63

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Solution

The fourth proportional to 875.09, 1,312.64 and 821.63 is: 1,232.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.09 : 1,312.64 = 821.63 : x
  2. Step 2: Convert to fraction form
    875.09/1,312.64 = 821.63/x
  3. Step 3: Cross multiply
    875.09x = 1,312.64 × 821.63
  4. Step 4: Simplify right side
    875.09x = 1,078,500.30
  5. Step 5: Solve for x
    x = 1,078,500.30/875.09
  6. Step 6: Final answer
    x = 1,232.45

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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.