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Finding the Fourth Proportional to 1,760, 2,428.59 and 973.94

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Solution

The fourth proportional to 1,760, 2,428.59 and 973.94 is: 1,343.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760 : 2,428.59 = 973.94 : x
  2. Step 2: Convert to fraction form
    1,760/2,428.59 = 973.94/x
  3. Step 3: Cross multiply
    1,760x = 2,428.59 × 973.94
  4. Step 4: Simplify right side
    1,760x = 2,365,300.94
  5. Step 5: Solve for x
    x = 2,365,300.94/1,760
  6. Step 6: Final answer
    x = 1,343.92

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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.