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Finding the Fourth Proportional to 1,316.76, 1,974.43 and 657.20

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Solution

The fourth proportional to 1,316.76, 1,974.43 and 657.20 is: 985.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.76 : 1,974.43 = 657.20 : x
  2. Step 2: Convert to fraction form
    1,316.76/1,974.43 = 657.20/x
  3. Step 3: Cross multiply
    1,316.76x = 1,974.43 × 657.20
  4. Step 4: Simplify right side
    1,316.76x = 1,297,595.40
  5. Step 5: Solve for x
    x = 1,297,595.40/1,316.76
  6. Step 6: Final answer
    x = 985.45

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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.