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Finding the Fourth Proportional to 652.23, 904.72 and 629.55

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Solution

The fourth proportional to 652.23, 904.72 and 629.55 is: 873.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.23 : 904.72 = 629.55 : x
  2. Step 2: Convert to fraction form
    652.23/904.72 = 629.55/x
  3. Step 3: Cross multiply
    652.23x = 904.72 × 629.55
  4. Step 4: Simplify right side
    652.23x = 569,566.48
  5. Step 5: Solve for x
    x = 569,566.48/652.23
  6. Step 6: Final answer
    x = 873.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.