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Finding the Fourth Proportional to 648.13, 894.68 and 498.46

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Solution

The fourth proportional to 648.13, 894.68 and 498.46 is: 688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.13 : 894.68 = 498.46 : x
  2. Step 2: Convert to fraction form
    648.13/894.68 = 498.46/x
  3. Step 3: Cross multiply
    648.13x = 894.68 × 498.46
  4. Step 4: Simplify right side
    648.13x = 445,962.19
  5. Step 5: Solve for x
    x = 445,962.19/648.13
  6. Step 6: Final answer
    x = 688.08

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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.