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Finding the Fourth Proportional to 1,659.36, 2,488.40 and 734.28

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Solution

The fourth proportional to 1,659.36, 2,488.40 and 734.28 is: 1,101.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.36 : 2,488.40 = 734.28 : x
  2. Step 2: Convert to fraction form
    1,659.36/2,488.40 = 734.28/x
  3. Step 3: Cross multiply
    1,659.36x = 2,488.40 × 734.28
  4. Step 4: Simplify right side
    1,659.36x = 1,827,182.35
  5. Step 5: Solve for x
    x = 1,827,182.35/1,659.36
  6. Step 6: Final answer
    x = 1,101.14

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1.5x scale

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.