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Finding the Fourth Proportional to 652.44, 900.54 and 390.66

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Solution

The fourth proportional to 652.44, 900.54 and 390.66 is: 539.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.44 : 900.54 = 390.66 : x
  2. Step 2: Convert to fraction form
    652.44/900.54 = 390.66/x
  3. Step 3: Cross multiply
    652.44x = 900.54 × 390.66
  4. Step 4: Simplify right side
    652.44x = 351,804.96
  5. Step 5: Solve for x
    x = 351,804.96/652.44
  6. Step 6: Final answer
    x = 539.21

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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.