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Finding the Fourth Proportional to 534.94, 797.95 and 448.83

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Solution

The fourth proportional to 534.94, 797.95 and 448.83 is: 669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.94 : 797.95 = 448.83 : x
  2. Step 2: Convert to fraction form
    534.94/797.95 = 448.83/x
  3. Step 3: Cross multiply
    534.94x = 797.95 × 448.83
  4. Step 4: Simplify right side
    534.94x = 358,143.90
  5. Step 5: Solve for x
    x = 358,143.90/534.94
  6. Step 6: Final answer
    x = 669.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.