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Finding the Fourth Proportional to 973.30, 1,456.31 and 540.76

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Solution

The fourth proportional to 973.30, 1,456.31 and 540.76 is: 809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.30 : 1,456.31 = 540.76 : x
  2. Step 2: Convert to fraction form
    973.30/1,456.31 = 540.76/x
  3. Step 3: Cross multiply
    973.30x = 1,456.31 × 540.76
  4. Step 4: Simplify right side
    973.30x = 787,511.49
  5. Step 5: Solve for x
    x = 787,511.49/973.30
  6. Step 6: Final answer
    x = 809.11

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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.