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Finding the Fourth Proportional to 876.15, 1,312.81 and 412.83

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Solution

The fourth proportional to 876.15, 1,312.81 and 412.83 is: 618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.15 : 1,312.81 = 412.83 : x
  2. Step 2: Convert to fraction form
    876.15/1,312.81 = 412.83/x
  3. Step 3: Cross multiply
    876.15x = 1,312.81 × 412.83
  4. Step 4: Simplify right side
    876.15x = 541,966.32
  5. Step 5: Solve for x
    x = 541,966.32/876.15
  6. Step 6: Final answer
    x = 618.58

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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.