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Finding the Fourth Proportional to 528.04, 728.70 and 440.56

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Solution

The fourth proportional to 528.04, 728.70 and 440.56 is: 607.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.04 : 728.70 = 440.56 : x
  2. Step 2: Convert to fraction form
    528.04/728.70 = 440.56/x
  3. Step 3: Cross multiply
    528.04x = 728.70 × 440.56
  4. Step 4: Simplify right side
    528.04x = 321,036.07
  5. Step 5: Solve for x
    x = 321,036.07/528.04
  6. Step 6: Final answer
    x = 607.98

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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.