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Finding the Fourth Proportional to 1,346.48, 1,858.16 and 1,009.79

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Solution

The fourth proportional to 1,346.48, 1,858.16 and 1,009.79 is: 1,393.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.48 : 1,858.16 = 1,009.79 : x
  2. Step 2: Convert to fraction form
    1,346.48/1,858.16 = 1,009.79/x
  3. Step 3: Cross multiply
    1,346.48x = 1,858.16 × 1,009.79
  4. Step 4: Simplify right side
    1,346.48x = 1,876,337.05
  5. Step 5: Solve for x
    x = 1,876,337.05/1,346.48
  6. Step 6: Final answer
    x = 1,393.52

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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.