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Finding the Fourth Proportional to 973.20, 1,342.98 and 553.56

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Solution

The fourth proportional to 973.20, 1,342.98 and 553.56 is: 763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.20 : 1,342.98 = 553.56 : x
  2. Step 2: Convert to fraction form
    973.20/1,342.98 = 553.56/x
  3. Step 3: Cross multiply
    973.20x = 1,342.98 × 553.56
  4. Step 4: Simplify right side
    973.20x = 743,420.01
  5. Step 5: Solve for x
    x = 743,420.01/973.20
  6. Step 6: Final answer
    x = 763.89

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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.