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Finding the Fourth Proportional to 882.70, 1,325.04 and 558.25

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Solution

The fourth proportional to 882.70, 1,325.04 and 558.25 is: 838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.70 : 1,325.04 = 558.25 : x
  2. Step 2: Convert to fraction form
    882.70/1,325.04 = 558.25/x
  3. Step 3: Cross multiply
    882.70x = 1,325.04 × 558.25
  4. Step 4: Simplify right side
    882.70x = 739,703.58
  5. Step 5: Solve for x
    x = 739,703.58/882.70
  6. Step 6: Final answer
    x = 838.00

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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.