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Finding the Fourth Proportional to 528.85, 728.23 and 417.98

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Solution

The fourth proportional to 528.85, 728.23 and 417.98 is: 575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.85 : 728.23 = 417.98 : x
  2. Step 2: Convert to fraction form
    528.85/728.23 = 417.98/x
  3. Step 3: Cross multiply
    528.85x = 728.23 × 417.98
  4. Step 4: Simplify right side
    528.85x = 304,379.84
  5. Step 5: Solve for x
    x = 304,379.84/528.85
  6. Step 6: Final answer
    x = 575.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.