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Finding the Fourth Proportional to 648.51, 895.30 and 449.63

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Solution

The fourth proportional to 648.51, 895.30 and 449.63 is: 620.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.51 : 895.30 = 449.63 : x
  2. Step 2: Convert to fraction form
    648.51/895.30 = 449.63/x
  3. Step 3: Cross multiply
    648.51x = 895.30 × 449.63
  4. Step 4: Simplify right side
    648.51x = 402,551.51
  5. Step 5: Solve for x
    x = 402,551.51/648.51
  6. Step 6: Final answer
    x = 620.74

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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.