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Finding the Fourth Proportional to 1,246.86, 1,870.83 and 477.90

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Solution

The fourth proportional to 1,246.86, 1,870.83 and 477.90 is: 717.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.86 : 1,870.83 = 477.90 : x
  2. Step 2: Convert to fraction form
    1,246.86/1,870.83 = 477.90/x
  3. Step 3: Cross multiply
    1,246.86x = 1,870.83 × 477.90
  4. Step 4: Simplify right side
    1,246.86x = 894,069.66
  5. Step 5: Solve for x
    x = 894,069.66/1,246.86
  6. Step 6: Final answer
    x = 717.06

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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.