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Finding the Fourth Proportional to 1,071.81, 1,478.95 and 599.74

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Solution

The fourth proportional to 1,071.81, 1,478.95 and 599.74 is: 827.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.81 : 1,478.95 = 599.74 : x
  2. Step 2: Convert to fraction form
    1,071.81/1,478.95 = 599.74/x
  3. Step 3: Cross multiply
    1,071.81x = 1,478.95 × 599.74
  4. Step 4: Simplify right side
    1,071.81x = 886,985.47
  5. Step 5: Solve for x
    x = 886,985.47/1,071.81
  6. Step 6: Final answer
    x = 827.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.