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Finding the Fourth Proportional to 875.09, 1,311.06 and 458.09

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Solution

The fourth proportional to 875.09, 1,311.06 and 458.09 is: 686.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.09 : 1,311.06 = 458.09 : x
  2. Step 2: Convert to fraction form
    875.09/1,311.06 = 458.09/x
  3. Step 3: Cross multiply
    875.09x = 1,311.06 × 458.09
  4. Step 4: Simplify right side
    875.09x = 600,576.92
  5. Step 5: Solve for x
    x = 600,576.92/875.09
  6. Step 6: Final answer
    x = 686.31

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1.5x scale

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.