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Finding the Fourth Proportional to 1,478.40, 2,215.69 and 599.88

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Solution

The fourth proportional to 1,478.40, 2,215.69 and 599.88 is: 899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.40 : 2,215.69 = 599.88 : x
  2. Step 2: Convert to fraction form
    1,478.40/2,215.69 = 599.88/x
  3. Step 3: Cross multiply
    1,478.40x = 2,215.69 × 599.88
  4. Step 4: Simplify right side
    1,478.40x = 1,329,156.61
  5. Step 5: Solve for x
    x = 1,329,156.61/1,478.40
  6. Step 6: Final answer
    x = 899.05

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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.