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Finding the Fourth Proportional to 652.23, 900.19 and 390.25

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Solution

The fourth proportional to 652.23, 900.19 and 390.25 is: 538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.23 : 900.19 = 390.25 : x
  2. Step 2: Convert to fraction form
    652.23/900.19 = 390.25/x
  3. Step 3: Cross multiply
    652.23x = 900.19 × 390.25
  4. Step 4: Simplify right side
    652.23x = 351,295.62
  5. Step 5: Solve for x
    x = 351,295.62/652.23
  6. Step 6: Final answer
    x = 538.61

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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.