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Finding the Fourth Proportional to 973.24, 1,456.21 and 540.70

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Solution

The fourth proportional to 973.24, 1,456.21 and 540.70 is: 809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.24 : 1,456.21 = 540.70 : x
  2. Step 2: Convert to fraction form
    973.24/1,456.21 = 540.70/x
  3. Step 3: Cross multiply
    973.24x = 1,456.21 × 540.70
  4. Step 4: Simplify right side
    973.24x = 787,369.78
  5. Step 5: Solve for x
    x = 787,369.78/973.24
  6. Step 6: Final answer
    x = 809.02

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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.