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Finding the Fourth Proportional to 652.67, 899.79 and 442.53

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Solution

The fourth proportional to 652.67, 899.79 and 442.53 is: 610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.67 : 899.79 = 442.53 : x
  2. Step 2: Convert to fraction form
    652.67/899.79 = 442.53/x
  3. Step 3: Cross multiply
    652.67x = 899.79 × 442.53
  4. Step 4: Simplify right side
    652.67x = 398,184.90
  5. Step 5: Solve for x
    x = 398,184.90/652.67
  6. Step 6: Final answer
    x = 610.08

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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.