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Finding the Fourth Proportional to 412.64, 618.95 and 104.51

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Solution

The fourth proportional to 412.64, 618.95 and 104.51 is: 156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.64 : 618.95 = 104.51 : x
  2. Step 2: Convert to fraction form
    412.64/618.95 = 104.51/x
  3. Step 3: Cross multiply
    412.64x = 618.95 × 104.51
  4. Step 4: Simplify right side
    412.64x = 64,686.46
  5. Step 5: Solve for x
    x = 64,686.46/412.64
  6. Step 6: Final answer
    x = 156.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.