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Finding the Fourth Proportional to 648.90, 896.49 and 597.06

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Solution

The fourth proportional to 648.90, 896.49 and 597.06 is: 824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.90 : 896.49 = 597.06 : x
  2. Step 2: Convert to fraction form
    648.90/896.49 = 597.06/x
  3. Step 3: Cross multiply
    648.90x = 896.49 × 597.06
  4. Step 4: Simplify right side
    648.90x = 535,258.32
  5. Step 5: Solve for x
    x = 535,258.32/648.90
  6. Step 6: Final answer
    x = 824.87

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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.