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Finding the Fourth Proportional to 1,708.30, 2,356.05 and 1,009

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Solution

The fourth proportional to 1,708.30, 2,356.05 and 1,009 is: 1,391.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.30 : 2,356.05 = 1,009 : x
  2. Step 2: Convert to fraction form
    1,708.30/2,356.05 = 1,009/x
  3. Step 3: Cross multiply
    1,708.30x = 2,356.05 × 1,009
  4. Step 4: Simplify right side
    1,708.30x = 2,377,254.45
  5. Step 5: Solve for x
    x = 2,377,254.45/1,708.30
  6. Step 6: Final answer
    x = 1,391.59

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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.