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Finding the Fourth Proportional to 563.02, 842.30 and 528.46

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Solution

The fourth proportional to 563.02, 842.30 and 528.46 is: 790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.02 : 842.30 = 528.46 : x
  2. Step 2: Convert to fraction form
    563.02/842.30 = 528.46/x
  3. Step 3: Cross multiply
    563.02x = 842.30 × 528.46
  4. Step 4: Simplify right side
    563.02x = 445,115.00
  5. Step 5: Solve for x
    x = 445,115.00/563.02
  6. Step 6: Final answer
    x = 790.59

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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.