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Finding the Fourth Proportional to 875.13, 1,312.71 and 821.67

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Solution

The fourth proportional to 875.13, 1,312.71 and 821.67 is: 1,232.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.13 : 1,312.71 = 821.67 : x
  2. Step 2: Convert to fraction form
    875.13/1,312.71 = 821.67/x
  3. Step 3: Cross multiply
    875.13x = 1,312.71 × 821.67
  4. Step 4: Simplify right side
    875.13x = 1,078,614.43
  5. Step 5: Solve for x
    x = 1,078,614.43/875.13
  6. Step 6: Final answer
    x = 1,232.52

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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.