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Finding the Fourth Proportional to 1,298.10, 1,946.95 and 475.95

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Solution

The fourth proportional to 1,298.10, 1,946.95 and 475.95 is: 713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.10 : 1,946.95 = 475.95 : x
  2. Step 2: Convert to fraction form
    1,298.10/1,946.95 = 475.95/x
  3. Step 3: Cross multiply
    1,298.10x = 1,946.95 × 475.95
  4. Step 4: Simplify right side
    1,298.10x = 926,649.66
  5. Step 5: Solve for x
    x = 926,649.66/1,298.10
  6. Step 6: Final answer
    x = 713.85

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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.