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Finding the Fourth Proportional to 1,106.38, 1,656.06 and 617.95

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Solution

The fourth proportional to 1,106.38, 1,656.06 and 617.95 is: 924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.38 : 1,656.06 = 617.95 : x
  2. Step 2: Convert to fraction form
    1,106.38/1,656.06 = 617.95/x
  3. Step 3: Cross multiply
    1,106.38x = 1,656.06 × 617.95
  4. Step 4: Simplify right side
    1,106.38x = 1,023,362.28
  5. Step 5: Solve for x
    x = 1,023,362.28/1,106.38
  6. Step 6: Final answer
    x = 924.96

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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.