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Finding the Fourth Proportional to 650.60, 972.28 and 525.80

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Solution

The fourth proportional to 650.60, 972.28 and 525.80 is: 785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.60 : 972.28 = 525.80 : x
  2. Step 2: Convert to fraction form
    650.60/972.28 = 525.80/x
  3. Step 3: Cross multiply
    650.60x = 972.28 × 525.80
  4. Step 4: Simplify right side
    650.60x = 511,224.82
  5. Step 5: Solve for x
    x = 511,224.82/650.60
  6. Step 6: Final answer
    x = 785.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.