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Finding the Fourth Proportional to 973.05, 1,342.80 and 599.88

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Solution

The fourth proportional to 973.05, 1,342.80 and 599.88 is: 827.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.05 : 1,342.80 = 599.88 : x
  2. Step 2: Convert to fraction form
    973.05/1,342.80 = 599.88/x
  3. Step 3: Cross multiply
    973.05x = 1,342.80 × 599.88
  4. Step 4: Simplify right side
    973.05x = 805,518.86
  5. Step 5: Solve for x
    x = 805,518.86/973.05
  6. Step 6: Final answer
    x = 827.83

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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.