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Finding the Fourth Proportional to 1,709, 2,358.42 and 973

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Solution

The fourth proportional to 1,709, 2,358.42 and 973 is: 1,342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709 : 2,358.42 = 973 : x
  2. Step 2: Convert to fraction form
    1,709/2,358.42 = 973/x
  3. Step 3: Cross multiply
    1,709x = 2,358.42 × 973
  4. Step 4: Simplify right side
    1,709x = 2,294,742.66
  5. Step 5: Solve for x
    x = 2,294,742.66/1,709
  6. Step 6: Final answer
    x = 1,342.74

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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.