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Finding the Fourth Proportional to 652.98, 900.67 and 390.90

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Solution

The fourth proportional to 652.98, 900.67 and 390.90 is: 539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.98 : 900.67 = 390.90 : x
  2. Step 2: Convert to fraction form
    652.98/900.67 = 390.90/x
  3. Step 3: Cross multiply
    652.98x = 900.67 × 390.90
  4. Step 4: Simplify right side
    652.98x = 352,071.90
  5. Step 5: Solve for x
    x = 352,071.90/652.98
  6. Step 6: Final answer
    x = 539.18

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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.