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Finding the Fourth Proportional to 875.33, 1,312.78 and 412.66

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Solution

The fourth proportional to 875.33, 1,312.78 and 412.66 is: 618.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.33 : 1,312.78 = 412.66 : x
  2. Step 2: Convert to fraction form
    875.33/1,312.78 = 412.66/x
  3. Step 3: Cross multiply
    875.33x = 1,312.78 × 412.66
  4. Step 4: Simplify right side
    875.33x = 541,731.79
  5. Step 5: Solve for x
    x = 541,731.79/875.33
  6. Step 6: Final answer
    x = 618.89

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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.