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Finding the Fourth Proportional to 660.02, 910.92 and 398.12

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Solution

The fourth proportional to 660.02, 910.92 and 398.12 is: 549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.02 : 910.92 = 398.12 : x
  2. Step 2: Convert to fraction form
    660.02/910.92 = 398.12/x
  3. Step 3: Cross multiply
    660.02x = 910.92 × 398.12
  4. Step 4: Simplify right side
    660.02x = 362,655.47
  5. Step 5: Solve for x
    x = 362,655.47/660.02
  6. Step 6: Final answer
    x = 549.46

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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.