Home / 1,164.25-1,746.38-547.51

Finding the Fourth Proportional to 1,164.25, 1,746.38 and 547.51

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Solution

The fourth proportional to 1,164.25, 1,746.38 and 547.51 is: 821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.25 : 1,746.38 = 547.51 : x
  2. Step 2: Convert to fraction form
    1,164.25/1,746.38 = 547.51/x
  3. Step 3: Cross multiply
    1,164.25x = 1,746.38 × 547.51
  4. Step 4: Simplify right side
    1,164.25x = 956,160.51
  5. Step 5: Solve for x
    x = 956,160.51/1,164.25
  6. Step 6: Final answer
    x = 821.27

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Half scale
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Double scale
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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.