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Finding the Fourth Proportional to 528.23, 728.48 and 458.26

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Solution

The fourth proportional to 528.23, 728.48 and 458.26 is: 631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.23 : 728.48 = 458.26 : x
  2. Step 2: Convert to fraction form
    528.23/728.48 = 458.26/x
  3. Step 3: Cross multiply
    528.23x = 728.48 × 458.26
  4. Step 4: Simplify right side
    528.23x = 333,832.57
  5. Step 5: Solve for x
    x = 333,832.57/528.23
  6. Step 6: Final answer
    x = 631.98

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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.