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Finding the Fourth Proportional to 528.65, 727.74 and 454.53

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Solution

The fourth proportional to 528.65, 727.74 and 454.53 is: 625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.65 : 727.74 = 454.53 : x
  2. Step 2: Convert to fraction form
    528.65/727.74 = 454.53/x
  3. Step 3: Cross multiply
    528.65x = 727.74 × 454.53
  4. Step 4: Simplify right side
    528.65x = 330,779.66
  5. Step 5: Solve for x
    x = 330,779.66/528.65
  6. Step 6: Final answer
    x = 625.71

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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.