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Finding the Fourth Proportional to 1,865.65, 2,798.40 and 478.99

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Solution

The fourth proportional to 1,865.65, 2,798.40 and 478.99 is: 718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.65 : 2,798.40 = 478.99 : x
  2. Step 2: Convert to fraction form
    1,865.65/2,798.40 = 478.99/x
  3. Step 3: Cross multiply
    1,865.65x = 2,798.40 × 478.99
  4. Step 4: Simplify right side
    1,865.65x = 1,340,405.62
  5. Step 5: Solve for x
    x = 1,340,405.62/1,865.65
  6. Step 6: Final answer
    x = 718.47

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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.