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Finding the Fourth Proportional to 652.89, 900.99 and 390.90

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Solution

The fourth proportional to 652.89, 900.99 and 390.90 is: 539.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.89 : 900.99 = 390.90 : x
  2. Step 2: Convert to fraction form
    652.89/900.99 = 390.90/x
  3. Step 3: Cross multiply
    652.89x = 900.99 × 390.90
  4. Step 4: Simplify right side
    652.89x = 352,196.99
  5. Step 5: Solve for x
    x = 352,196.99/652.89
  6. Step 6: Final answer
    x = 539.44

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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.