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Finding the Fourth Proportional to 653.06, 900.72 and 582.80

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Solution

The fourth proportional to 653.06, 900.72 and 582.80 is: 803.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.06 : 900.72 = 582.80 : x
  2. Step 2: Convert to fraction form
    653.06/900.72 = 582.80/x
  3. Step 3: Cross multiply
    653.06x = 900.72 × 582.80
  4. Step 4: Simplify right side
    653.06x = 524,935.11
  5. Step 5: Solve for x
    x = 524,935.11/653.06
  6. Step 6: Final answer
    x = 803.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.