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Finding the Fourth Proportional to 652.72, 900.60 and 512.84

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Solution

The fourth proportional to 652.72, 900.60 and 512.84 is: 707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.72 : 900.60 = 512.84 : x
  2. Step 2: Convert to fraction form
    652.72/900.60 = 512.84/x
  3. Step 3: Cross multiply
    652.72x = 900.60 × 512.84
  4. Step 4: Simplify right side
    652.72x = 461,863.70
  5. Step 5: Solve for x
    x = 461,863.70/652.72
  6. Step 6: Final answer
    x = 707.60

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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.