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Finding the Fourth Proportional to 973.54, 1,343.40 and 553.87

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Solution

The fourth proportional to 973.54, 1,343.40 and 553.87 is: 764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.54 : 1,343.40 = 553.87 : x
  2. Step 2: Convert to fraction form
    973.54/1,343.40 = 553.87/x
  3. Step 3: Cross multiply
    973.54x = 1,343.40 × 553.87
  4. Step 4: Simplify right side
    973.54x = 744,068.96
  5. Step 5: Solve for x
    x = 744,068.96/973.54
  6. Step 6: Final answer
    x = 764.29

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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.